-7(w+6)-(2w-9)=-10w

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Solution for -7(w+6)-(2w-9)=-10w equation:


Simplifying
-7(w + 6) + -1(2w + -9) = -10w

Reorder the terms:
-7(6 + w) + -1(2w + -9) = -10w
(6 * -7 + w * -7) + -1(2w + -9) = -10w
(-42 + -7w) + -1(2w + -9) = -10w

Reorder the terms:
-42 + -7w + -1(-9 + 2w) = -10w
-42 + -7w + (-9 * -1 + 2w * -1) = -10w
-42 + -7w + (9 + -2w) = -10w

Reorder the terms:
-42 + 9 + -7w + -2w = -10w

Combine like terms: -42 + 9 = -33
-33 + -7w + -2w = -10w

Combine like terms: -7w + -2w = -9w
-33 + -9w = -10w

Solving
-33 + -9w = -10w

Solving for variable 'w'.

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

Add '10w' to each side of the equation.
-33 + -9w + 10w = -10w + 10w

Combine like terms: -9w + 10w = 1w
-33 + 1w = -10w + 10w

Combine like terms: -10w + 10w = 0
-33 + 1w = 0

Add '33' to each side of the equation.
-33 + 33 + 1w = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 1w = 0 + 33
1w = 0 + 33

Combine like terms: 0 + 33 = 33
1w = 33

Divide each side by '1'.
w = 33

Simplifying
w = 33

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