9(3w-2)=4(9w)+45

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Solution for 9(3w-2)=4(9w)+45 equation:


Simplifying
9(3w + -2) = 4(9w) + 45

Reorder the terms:
9(-2 + 3w) = 4(9w) + 45
(-2 * 9 + 3w * 9) = 4(9w) + 45
(-18 + 27w) = 4(9w) + 45

Remove parenthesis around (9w)
-18 + 27w = 4 * 9w + 45

Multiply 4 * 9
-18 + 27w = 36w + 45

Reorder the terms:
-18 + 27w = 45 + 36w

Solving
-18 + 27w = 45 + 36w

Solving for variable 'w'.

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

Add '-36w' to each side of the equation.
-18 + 27w + -36w = 45 + 36w + -36w

Combine like terms: 27w + -36w = -9w
-18 + -9w = 45 + 36w + -36w

Combine like terms: 36w + -36w = 0
-18 + -9w = 45 + 0
-18 + -9w = 45

Add '18' to each side of the equation.
-18 + 18 + -9w = 45 + 18

Combine like terms: -18 + 18 = 0
0 + -9w = 45 + 18
-9w = 45 + 18

Combine like terms: 45 + 18 = 63
-9w = 63

Divide each side by '-9'.
w = -7

Simplifying
w = -7

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