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Simplifying 12 + -3(4w + -1) = 7w + -3(7 + w) Reorder the terms: 12 + -3(-1 + 4w) = 7w + -3(7 + w) 12 + (-1 * -3 + 4w * -3) = 7w + -3(7 + w) 12 + (3 + -12w) = 7w + -3(7 + w) Combine like terms: 12 + 3 = 15 15 + -12w = 7w + -3(7 + w) 15 + -12w = 7w + (7 * -3 + w * -3) 15 + -12w = 7w + (-21 + -3w) Reorder the terms: 15 + -12w = -21 + 7w + -3w Combine like terms: 7w + -3w = 4w 15 + -12w = -21 + 4w Solving 15 + -12w = -21 + 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. 15 + -12w + -4w = -21 + 4w + -4w Combine like terms: -12w + -4w = -16w 15 + -16w = -21 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + -16w = -21 + 0 15 + -16w = -21 Add '-15' to each side of the equation. 15 + -15 + -16w = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -16w = -21 + -15 -16w = -21 + -15 Combine like terms: -21 + -15 = -36 -16w = -36 Divide each side by '-16'. w = 2.25 Simplifying w = 2.25
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