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Simplifying 7(w + -5) = 6(w + -5) Reorder the terms: 7(-5 + w) = 6(w + -5) (-5 * 7 + w * 7) = 6(w + -5) (-35 + 7w) = 6(w + -5) Reorder the terms: -35 + 7w = 6(-5 + w) -35 + 7w = (-5 * 6 + w * 6) -35 + 7w = (-30 + 6w) Solving -35 + 7w = -30 + 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. -35 + 7w + -6w = -30 + 6w + -6w Combine like terms: 7w + -6w = 1w -35 + 1w = -30 + 6w + -6w Combine like terms: 6w + -6w = 0 -35 + 1w = -30 + 0 -35 + 1w = -30 Add '35' to each side of the equation. -35 + 35 + 1w = -30 + 35 Combine like terms: -35 + 35 = 0 0 + 1w = -30 + 35 1w = -30 + 35 Combine like terms: -30 + 35 = 5 1w = 5 Divide each side by '1'. w = 5 Simplifying w = 5
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