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Simplifying -4(w + 1) = -2(9w + -6) + 2w Reorder the terms: -4(1 + w) = -2(9w + -6) + 2w (1 * -4 + w * -4) = -2(9w + -6) + 2w (-4 + -4w) = -2(9w + -6) + 2w Reorder the terms: -4 + -4w = -2(-6 + 9w) + 2w -4 + -4w = (-6 * -2 + 9w * -2) + 2w -4 + -4w = (12 + -18w) + 2w Combine like terms: -18w + 2w = -16w -4 + -4w = 12 + -16w Solving -4 + -4w = 12 + -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. -4 + -4w + 16w = 12 + -16w + 16w Combine like terms: -4w + 16w = 12w -4 + 12w = 12 + -16w + 16w Combine like terms: -16w + 16w = 0 -4 + 12w = 12 + 0 -4 + 12w = 12 Add '4' to each side of the equation. -4 + 4 + 12w = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 12w = 12 + 4 12w = 12 + 4 Combine like terms: 12 + 4 = 16 12w = 16 Divide each side by '12'. w = 1.333333333 Simplifying w = 1.333333333
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