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Simplifying 15 = 7w + 4(w + -3) Reorder the terms: 15 = 7w + 4(-3 + w) 15 = 7w + (-3 * 4 + w * 4) 15 = 7w + (-12 + 4w) Reorder the terms: 15 = -12 + 7w + 4w Combine like terms: 7w + 4w = 11w 15 = -12 + 11w Solving 15 = -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. 15 + -11w = -12 + 11w + -11w Combine like terms: 11w + -11w = 0 15 + -11w = -12 + 0 15 + -11w = -12 Add '-15' to each side of the equation. 15 + -15 + -11w = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -11w = -12 + -15 -11w = -12 + -15 Combine like terms: -12 + -15 = -27 -11w = -27 Divide each side by '-11'. w = 2.454545455 Simplifying w = 2.454545455
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