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