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Simplifying 19 = 15w + -1(12w + 4) Reorder the terms: 19 = 15w + -1(4 + 12w) 19 = 15w + (4 * -1 + 12w * -1) 19 = 15w + (-4 + -12w) Reorder the terms: 19 = -4 + 15w + -12w Combine like terms: 15w + -12w = 3w 19 = -4 + 3w Solving 19 = -4 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 19 + -3w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 19 + -3w = -4 + 0 19 + -3w = -4 Add '-19' to each side of the equation. 19 + -19 + -3w = -4 + -19 Combine like terms: 19 + -19 = 0 0 + -3w = -4 + -19 -3w = -4 + -19 Combine like terms: -4 + -19 = -23 -3w = -23 Divide each side by '-3'. w = 7.666666667 Simplifying w = 7.666666667
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