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Simplifying 7(w + -8) + -1(2 + 3w) = 3w Reorder the terms: 7(-8 + w) + -1(2 + 3w) = 3w (-8 * 7 + w * 7) + -1(2 + 3w) = 3w (-56 + 7w) + -1(2 + 3w) = 3w -56 + 7w + (2 * -1 + 3w * -1) = 3w -56 + 7w + (-2 + -3w) = 3w Reorder the terms: -56 + -2 + 7w + -3w = 3w Combine like terms: -56 + -2 = -58 -58 + 7w + -3w = 3w Combine like terms: 7w + -3w = 4w -58 + 4w = 3w Solving -58 + 4w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -58 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w -58 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 -58 + 1w = 0 Add '58' to each side of the equation. -58 + 58 + 1w = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 1w = 0 + 58 1w = 0 + 58 Combine like terms: 0 + 58 = 58 1w = 58 Divide each side by '1'. w = 58 Simplifying w = 58
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