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Simplifying -15 + 4(4w + 2) = 12 + -5(8 + -1w) Reorder the terms: -15 + 4(2 + 4w) = 12 + -5(8 + -1w) -15 + (2 * 4 + 4w * 4) = 12 + -5(8 + -1w) -15 + (8 + 16w) = 12 + -5(8 + -1w) Combine like terms: -15 + 8 = -7 -7 + 16w = 12 + -5(8 + -1w) -7 + 16w = 12 + (8 * -5 + -1w * -5) -7 + 16w = 12 + (-40 + 5w) Combine like terms: 12 + -40 = -28 -7 + 16w = -28 + 5w Solving -7 + 16w = -28 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 16w + -5w = -28 + 5w + -5w Combine like terms: 16w + -5w = 11w -7 + 11w = -28 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + 11w = -28 + 0 -7 + 11w = -28 Add '7' to each side of the equation. -7 + 7 + 11w = -28 + 7 Combine like terms: -7 + 7 = 0 0 + 11w = -28 + 7 11w = -28 + 7 Combine like terms: -28 + 7 = -21 11w = -21 Divide each side by '11'. w = -1.909090909 Simplifying w = -1.909090909
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