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Simplifying -6 = 5(w + 3) + -2w Reorder the terms: -6 = 5(3 + w) + -2w -6 = (3 * 5 + w * 5) + -2w -6 = (15 + 5w) + -2w Combine like terms: 5w + -2w = 3w -6 = 15 + 3w Solving -6 = 15 + 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. -6 + -3w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + -3w = 15 + 0 -6 + -3w = 15 Add '6' to each side of the equation. -6 + 6 + -3w = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 15 + 6 -3w = 15 + 6 Combine like terms: 15 + 6 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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