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Simplifying 8(w + -5) + -7(w + -4) = 15 Reorder the terms: 8(-5 + w) + -7(w + -4) = 15 (-5 * 8 + w * 8) + -7(w + -4) = 15 (-40 + 8w) + -7(w + -4) = 15 Reorder the terms: -40 + 8w + -7(-4 + w) = 15 -40 + 8w + (-4 * -7 + w * -7) = 15 -40 + 8w + (28 + -7w) = 15 Reorder the terms: -40 + 28 + 8w + -7w = 15 Combine like terms: -40 + 28 = -12 -12 + 8w + -7w = 15 Combine like terms: 8w + -7w = 1w -12 + 1w = 15 Solving -12 + 1w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1w = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 15 + 12 1w = 15 + 12 Combine like terms: 15 + 12 = 27 1w = 27 Divide each side by '1'. w = 27 Simplifying w = 27
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