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Simplifying 9 + 6(2w + -2) = -5(2w + -1) + 6w Reorder the terms: 9 + 6(-2 + 2w) = -5(2w + -1) + 6w 9 + (-2 * 6 + 2w * 6) = -5(2w + -1) + 6w 9 + (-12 + 12w) = -5(2w + -1) + 6w Combine like terms: 9 + -12 = -3 -3 + 12w = -5(2w + -1) + 6w Reorder the terms: -3 + 12w = -5(-1 + 2w) + 6w -3 + 12w = (-1 * -5 + 2w * -5) + 6w -3 + 12w = (5 + -10w) + 6w Combine like terms: -10w + 6w = -4w -3 + 12w = 5 + -4w Solving -3 + 12w = 5 + -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. -3 + 12w + 4w = 5 + -4w + 4w Combine like terms: 12w + 4w = 16w -3 + 16w = 5 + -4w + 4w Combine like terms: -4w + 4w = 0 -3 + 16w = 5 + 0 -3 + 16w = 5 Add '3' to each side of the equation. -3 + 3 + 16w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 16w = 5 + 3 16w = 5 + 3 Combine like terms: 5 + 3 = 8 16w = 8 Divide each side by '16'. w = 0.5 Simplifying w = 0.5
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