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Simplifying 4w + -5(3w + -4) + -36 = 4(1 + -3w) + -1w Reorder the terms: 4w + -5(-4 + 3w) + -36 = 4(1 + -3w) + -1w 4w + (-4 * -5 + 3w * -5) + -36 = 4(1 + -3w) + -1w 4w + (20 + -15w) + -36 = 4(1 + -3w) + -1w Reorder the terms: 20 + -36 + 4w + -15w = 4(1 + -3w) + -1w Combine like terms: 20 + -36 = -16 -16 + 4w + -15w = 4(1 + -3w) + -1w Combine like terms: 4w + -15w = -11w -16 + -11w = 4(1 + -3w) + -1w -16 + -11w = (1 * 4 + -3w * 4) + -1w -16 + -11w = (4 + -12w) + -1w Combine like terms: -12w + -1w = -13w -16 + -11w = 4 + -13w Solving -16 + -11w = 4 + -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. -16 + -11w + 13w = 4 + -13w + 13w Combine like terms: -11w + 13w = 2w -16 + 2w = 4 + -13w + 13w Combine like terms: -13w + 13w = 0 -16 + 2w = 4 + 0 -16 + 2w = 4 Add '16' to each side of the equation. -16 + 16 + 2w = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 2w = 4 + 16 2w = 4 + 16 Combine like terms: 4 + 16 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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