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Simplifying 3(w + -6) = -7(w + 4) Reorder the terms: 3(-6 + w) = -7(w + 4) (-6 * 3 + w * 3) = -7(w + 4) (-18 + 3w) = -7(w + 4) Reorder the terms: -18 + 3w = -7(4 + w) -18 + 3w = (4 * -7 + w * -7) -18 + 3w = (-28 + -7w) Solving -18 + 3w = -28 + -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 + 3w + 7w = -28 + -7w + 7w Combine like terms: 3w + 7w = 10w -18 + 10w = -28 + -7w + 7w Combine like terms: -7w + 7w = 0 -18 + 10w = -28 + 0 -18 + 10w = -28 Add '18' to each side of the equation. -18 + 18 + 10w = -28 + 18 Combine like terms: -18 + 18 = 0 0 + 10w = -28 + 18 10w = -28 + 18 Combine like terms: -28 + 18 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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