9-4w=4(-w+5)+5(4w+3)

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Solution for 9-4w=4(-w+5)+5(4w+3) equation:


Simplifying
9 + -4w = 4(-1w + 5) + 5(4w + 3)

Reorder the terms:
9 + -4w = 4(5 + -1w) + 5(4w + 3)
9 + -4w = (5 * 4 + -1w * 4) + 5(4w + 3)
9 + -4w = (20 + -4w) + 5(4w + 3)

Reorder the terms:
9 + -4w = 20 + -4w + 5(3 + 4w)
9 + -4w = 20 + -4w + (3 * 5 + 4w * 5)
9 + -4w = 20 + -4w + (15 + 20w)

Reorder the terms:
9 + -4w = 20 + 15 + -4w + 20w

Combine like terms: 20 + 15 = 35
9 + -4w = 35 + -4w + 20w

Combine like terms: -4w + 20w = 16w
9 + -4w = 35 + 16w

Solving
9 + -4w = 35 + 16w

Solving for variable 'w'.

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

Add '-16w' to each side of the equation.
9 + -4w + -16w = 35 + 16w + -16w

Combine like terms: -4w + -16w = -20w
9 + -20w = 35 + 16w + -16w

Combine like terms: 16w + -16w = 0
9 + -20w = 35 + 0
9 + -20w = 35

Add '-9' to each side of the equation.
9 + -9 + -20w = 35 + -9

Combine like terms: 9 + -9 = 0
0 + -20w = 35 + -9
-20w = 35 + -9

Combine like terms: 35 + -9 = 26
-20w = 26

Divide each side by '-20'.
w = -1.3

Simplifying
w = -1.3

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