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Simplifying 5w + -2(w + -18) = 7w + -15 Reorder the terms: 5w + -2(-18 + w) = 7w + -15 5w + (-18 * -2 + w * -2) = 7w + -15 5w + (36 + -2w) = 7w + -15 Reorder the terms: 36 + 5w + -2w = 7w + -15 Combine like terms: 5w + -2w = 3w 36 + 3w = 7w + -15 Reorder the terms: 36 + 3w = -15 + 7w Solving 36 + 3w = -15 + 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. 36 + 3w + -7w = -15 + 7w + -7w Combine like terms: 3w + -7w = -4w 36 + -4w = -15 + 7w + -7w Combine like terms: 7w + -7w = 0 36 + -4w = -15 + 0 36 + -4w = -15 Add '-36' to each side of the equation. 36 + -36 + -4w = -15 + -36 Combine like terms: 36 + -36 = 0 0 + -4w = -15 + -36 -4w = -15 + -36 Combine like terms: -15 + -36 = -51 -4w = -51 Divide each side by '-4'. w = 12.75 Simplifying w = 12.75
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