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Simplifying 5(w + -6) + -1(8 + -3w) = 7w Reorder the terms: 5(-6 + w) + -1(8 + -3w) = 7w (-6 * 5 + w * 5) + -1(8 + -3w) = 7w (-30 + 5w) + -1(8 + -3w) = 7w -30 + 5w + (8 * -1 + -3w * -1) = 7w -30 + 5w + (-8 + 3w) = 7w Reorder the terms: -30 + -8 + 5w + 3w = 7w Combine like terms: -30 + -8 = -38 -38 + 5w + 3w = 7w Combine like terms: 5w + 3w = 8w -38 + 8w = 7w Solving -38 + 8w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -38 + 8w + -7w = 7w + -7w Combine like terms: 8w + -7w = 1w -38 + 1w = 7w + -7w Combine like terms: 7w + -7w = 0 -38 + 1w = 0 Add '38' to each side of the equation. -38 + 38 + 1w = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1w = 0 + 38 1w = 0 + 38 Combine like terms: 0 + 38 = 38 1w = 38 Divide each side by '1'. w = 38 Simplifying w = 38
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