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Simplifying 6(w + -7) = 3(3w + 5) Reorder the terms: 6(-7 + w) = 3(3w + 5) (-7 * 6 + w * 6) = 3(3w + 5) (-42 + 6w) = 3(3w + 5) Reorder the terms: -42 + 6w = 3(5 + 3w) -42 + 6w = (5 * 3 + 3w * 3) -42 + 6w = (15 + 9w) Solving -42 + 6w = 15 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -42 + 6w + -9w = 15 + 9w + -9w Combine like terms: 6w + -9w = -3w -42 + -3w = 15 + 9w + -9w Combine like terms: 9w + -9w = 0 -42 + -3w = 15 + 0 -42 + -3w = 15 Add '42' to each side of the equation. -42 + 42 + -3w = 15 + 42 Combine like terms: -42 + 42 = 0 0 + -3w = 15 + 42 -3w = 15 + 42 Combine like terms: 15 + 42 = 57 -3w = 57 Divide each side by '-3'. w = -19 Simplifying w = -19
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