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Simplifying 6(w + 3) = 7(w + -3) Reorder the terms: 6(3 + w) = 7(w + -3) (3 * 6 + w * 6) = 7(w + -3) (18 + 6w) = 7(w + -3) Reorder the terms: 18 + 6w = 7(-3 + w) 18 + 6w = (-3 * 7 + w * 7) 18 + 6w = (-21 + 7w) Solving 18 + 6w = -21 + 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. 18 + 6w + -7w = -21 + 7w + -7w Combine like terms: 6w + -7w = -1w 18 + -1w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 18 + -1w = -21 + 0 18 + -1w = -21 Add '-18' to each side of the equation. 18 + -18 + -1w = -21 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = -21 + -18 -1w = -21 + -18 Combine like terms: -21 + -18 = -39 -1w = -39 Divide each side by '-1'. w = 39 Simplifying w = 39
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