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Simplifying 10 + -4(w + 7) = 2(1 + -1w) Reorder the terms: 10 + -4(7 + w) = 2(1 + -1w) 10 + (7 * -4 + w * -4) = 2(1 + -1w) 10 + (-28 + -4w) = 2(1 + -1w) Combine like terms: 10 + -28 = -18 -18 + -4w = 2(1 + -1w) -18 + -4w = (1 * 2 + -1w * 2) -18 + -4w = (2 + -2w) Solving -18 + -4w = 2 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -18 + -4w + 2w = 2 + -2w + 2w Combine like terms: -4w + 2w = -2w -18 + -2w = 2 + -2w + 2w Combine like terms: -2w + 2w = 0 -18 + -2w = 2 + 0 -18 + -2w = 2 Add '18' to each side of the equation. -18 + 18 + -2w = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2w = 2 + 18 -2w = 2 + 18 Combine like terms: 2 + 18 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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