i need help with 9(2+w)-4=3w-10

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03-09-2019
Mathematics

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i need help with 9(2+w)-4=3w-10

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OchacoUraraka OchacoUraraka · Answer 1 · 2019-09-03T02:08:55+02:00

Simplifying
9(2 + w) + -4 = 3w + -10
(2 * 9 + w * 9) + -4 = 3w + -10
(18 + 9w) + -4 = 3w + -10

Reorder the terms:
18 + -4 + 9w = 3w + -10

Combine like terms: 18 + -4 = 14
14 + 9w = 3w + -10

Reorder the terms:
14 + 9w = -10 + 3w

Solving
14 + 9w = -10 + 3w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-3w' to each side of the equation.
14 + 9w + -3w = -10 + 3w + -3w

Combine like terms: 9w + -3w = 6w
14 + 6w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
14 + 6w = -10 + 0
14 + 6w = -10

Add '-14' to each side of the equation.
14 + -14 + 6w = -10 + -14

Combine like terms: 14 + -14 = 0
0 + 6w = -10 + -14
6w = -10 + -14

Combine like terms: -10 + -14 = -24
6w = -24

Divide each side by '6'.
w = -4

Simplifying
w = -4