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Simplifying 3(w + -5) = 6(w + 2) + -3 Reorder the terms: 3(-5 + w) = 6(w + 2) + -3 (-5 * 3 + w * 3) = 6(w + 2) + -3 (-15 + 3w) = 6(w + 2) + -3 Reorder the terms: -15 + 3w = 6(2 + w) + -3 -15 + 3w = (2 * 6 + w * 6) + -3 -15 + 3w = (12 + 6w) + -3 Reorder the terms: -15 + 3w = 12 + -3 + 6w Combine like terms: 12 + -3 = 9 -15 + 3w = 9 + 6w Solving -15 + 3w = 9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -15 + 3w + -6w = 9 + 6w + -6w Combine like terms: 3w + -6w = -3w -15 + -3w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + -3w = 9 + 0 -15 + -3w = 9 Add '15' to each side of the equation. -15 + 15 + -3w = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = 9 + 15 -3w = 9 + 15 Combine like terms: 9 + 15 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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