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Simplifying 6(w + -7) = 5(w + -6) Reorder the terms: 6(-7 + w) = 5(w + -6) (-7 * 6 + w * 6) = 5(w + -6) (-42 + 6w) = 5(w + -6) Reorder the terms: -42 + 6w = 5(-6 + w) -42 + 6w = (-6 * 5 + w * 5) -42 + 6w = (-30 + 5w) Solving -42 + 6w = -30 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -42 + 6w + -5w = -30 + 5w + -5w Combine like terms: 6w + -5w = 1w -42 + 1w = -30 + 5w + -5w Combine like terms: 5w + -5w = 0 -42 + 1w = -30 + 0 -42 + 1w = -30 Add '42' to each side of the equation. -42 + 42 + 1w = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 1w = -30 + 42 1w = -30 + 42 Combine like terms: -30 + 42 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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