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Simplifying 5(w + -3) + -7 = -3(-4w + 4) + -1w Reorder the terms: 5(-3 + w) + -7 = -3(-4w + 4) + -1w (-3 * 5 + w * 5) + -7 = -3(-4w + 4) + -1w (-15 + 5w) + -7 = -3(-4w + 4) + -1w Reorder the terms: -15 + -7 + 5w = -3(-4w + 4) + -1w Combine like terms: -15 + -7 = -22 -22 + 5w = -3(-4w + 4) + -1w Reorder the terms: -22 + 5w = -3(4 + -4w) + -1w -22 + 5w = (4 * -3 + -4w * -3) + -1w -22 + 5w = (-12 + 12w) + -1w Combine like terms: 12w + -1w = 11w -22 + 5w = -12 + 11w Solving -22 + 5w = -12 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -22 + 5w + -11w = -12 + 11w + -11w Combine like terms: 5w + -11w = -6w -22 + -6w = -12 + 11w + -11w Combine like terms: 11w + -11w = 0 -22 + -6w = -12 + 0 -22 + -6w = -12 Add '22' to each side of the equation. -22 + 22 + -6w = -12 + 22 Combine like terms: -22 + 22 = 0 0 + -6w = -12 + 22 -6w = -12 + 22 Combine like terms: -12 + 22 = 10 -6w = 10 Divide each side by '-6'. w = -1.666666667 Simplifying w = -1.666666667
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