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Simplifying 9(w + -4) + -7 = 5(3w + -2) Reorder the terms: 9(-4 + w) + -7 = 5(3w + -2) (-4 * 9 + w * 9) + -7 = 5(3w + -2) (-36 + 9w) + -7 = 5(3w + -2) Reorder the terms: -36 + -7 + 9w = 5(3w + -2) Combine like terms: -36 + -7 = -43 -43 + 9w = 5(3w + -2) Reorder the terms: -43 + 9w = 5(-2 + 3w) -43 + 9w = (-2 * 5 + 3w * 5) -43 + 9w = (-10 + 15w) Solving -43 + 9w = -10 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -43 + 9w + -15w = -10 + 15w + -15w Combine like terms: 9w + -15w = -6w -43 + -6w = -10 + 15w + -15w Combine like terms: 15w + -15w = 0 -43 + -6w = -10 + 0 -43 + -6w = -10 Add '43' to each side of the equation. -43 + 43 + -6w = -10 + 43 Combine like terms: -43 + 43 = 0 0 + -6w = -10 + 43 -6w = -10 + 43 Combine like terms: -10 + 43 = 33 -6w = 33 Divide each side by '-6'. w = -5.5 Simplifying w = -5.5
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