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Simplifying -4(4w + -4) = 8(4w + 8) Reorder the terms: -4(-4 + 4w) = 8(4w + 8) (-4 * -4 + 4w * -4) = 8(4w + 8) (16 + -16w) = 8(4w + 8) Reorder the terms: 16 + -16w = 8(8 + 4w) 16 + -16w = (8 * 8 + 4w * 8) 16 + -16w = (64 + 32w) Solving 16 + -16w = 64 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 16 + -16w + -32w = 64 + 32w + -32w Combine like terms: -16w + -32w = -48w 16 + -48w = 64 + 32w + -32w Combine like terms: 32w + -32w = 0 16 + -48w = 64 + 0 16 + -48w = 64 Add '-16' to each side of the equation. 16 + -16 + -48w = 64 + -16 Combine like terms: 16 + -16 = 0 0 + -48w = 64 + -16 -48w = 64 + -16 Combine like terms: 64 + -16 = 48 -48w = 48 Divide each side by '-48'. w = -1 Simplifying w = -1
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