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Simplifying -9w + -1(4 + 3w) = 2(2w + -1) -9w + (4 * -1 + 3w * -1) = 2(2w + -1) -9w + (-4 + -3w) = 2(2w + -1) Reorder the terms: -4 + -9w + -3w = 2(2w + -1) Combine like terms: -9w + -3w = -12w -4 + -12w = 2(2w + -1) Reorder the terms: -4 + -12w = 2(-1 + 2w) -4 + -12w = (-1 * 2 + 2w * 2) -4 + -12w = (-2 + 4w) Solving -4 + -12w = -2 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -4 + -12w + -4w = -2 + 4w + -4w Combine like terms: -12w + -4w = -16w -4 + -16w = -2 + 4w + -4w Combine like terms: 4w + -4w = 0 -4 + -16w = -2 + 0 -4 + -16w = -2 Add '4' to each side of the equation. -4 + 4 + -16w = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -16w = -2 + 4 -16w = -2 + 4 Combine like terms: -2 + 4 = 2 -16w = 2 Divide each side by '-16'. w = -0.125 Simplifying w = -0.125
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