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Simplifying 6(w + -2) = 7(w + -2) Reorder the terms: 6(-2 + w) = 7(w + -2) (-2 * 6 + w * 6) = 7(w + -2) (-12 + 6w) = 7(w + -2) Reorder the terms: -12 + 6w = 7(-2 + w) -12 + 6w = (-2 * 7 + w * 7) -12 + 6w = (-14 + 7w) Solving -12 + 6w = -14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -12 + 6w + -7w = -14 + 7w + -7w Combine like terms: 6w + -7w = -1w -12 + -1w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 -12 + -1w = -14 + 0 -12 + -1w = -14 Add '12' to each side of the equation. -12 + 12 + -1w = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = -14 + 12 -1w = -14 + 12 Combine like terms: -14 + 12 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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