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Simplifying 10(w + -9) + -6w = 15(w + -2) Reorder the terms: 10(-9 + w) + -6w = 15(w + -2) (-9 * 10 + w * 10) + -6w = 15(w + -2) (-90 + 10w) + -6w = 15(w + -2) Combine like terms: 10w + -6w = 4w -90 + 4w = 15(w + -2) Reorder the terms: -90 + 4w = 15(-2 + w) -90 + 4w = (-2 * 15 + w * 15) -90 + 4w = (-30 + 15w) Solving -90 + 4w = -30 + 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. -90 + 4w + -15w = -30 + 15w + -15w Combine like terms: 4w + -15w = -11w -90 + -11w = -30 + 15w + -15w Combine like terms: 15w + -15w = 0 -90 + -11w = -30 + 0 -90 + -11w = -30 Add '90' to each side of the equation. -90 + 90 + -11w = -30 + 90 Combine like terms: -90 + 90 = 0 0 + -11w = -30 + 90 -11w = -30 + 90 Combine like terms: -30 + 90 = 60 -11w = 60 Divide each side by '-11'. w = -5.454545455 Simplifying w = -5.454545455
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