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Simplifying 8(w + -5) + -1(w + -4) = 15 Reorder the terms: 8(-5 + w) + -1(w + -4) = 15 (-5 * 8 + w * 8) + -1(w + -4) = 15 (-40 + 8w) + -1(w + -4) = 15 Reorder the terms: -40 + 8w + -1(-4 + w) = 15 -40 + 8w + (-4 * -1 + w * -1) = 15 -40 + 8w + (4 + -1w) = 15 Reorder the terms: -40 + 4 + 8w + -1w = 15 Combine like terms: -40 + 4 = -36 -36 + 8w + -1w = 15 Combine like terms: 8w + -1w = 7w -36 + 7w = 15 Solving -36 + 7w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 7w = 15 + 36 Combine like terms: -36 + 36 = 0 0 + 7w = 15 + 36 7w = 15 + 36 Combine like terms: 15 + 36 = 51 7w = 51 Divide each side by '7'. w = 7.285714286 Simplifying w = 7.285714286
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