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Simplifying 5 + 4(w + -2) = 2(w + 7) + 1 Reorder the terms: 5 + 4(-2 + w) = 2(w + 7) + 1 5 + (-2 * 4 + w * 4) = 2(w + 7) + 1 5 + (-8 + 4w) = 2(w + 7) + 1 Combine like terms: 5 + -8 = -3 -3 + 4w = 2(w + 7) + 1 Reorder the terms: -3 + 4w = 2(7 + w) + 1 -3 + 4w = (7 * 2 + w * 2) + 1 -3 + 4w = (14 + 2w) + 1 Reorder the terms: -3 + 4w = 14 + 1 + 2w Combine like terms: 14 + 1 = 15 -3 + 4w = 15 + 2w Solving -3 + 4w = 15 + 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. -3 + 4w + -2w = 15 + 2w + -2w Combine like terms: 4w + -2w = 2w -3 + 2w = 15 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 2w = 15 + 0 -3 + 2w = 15 Add '3' to each side of the equation. -3 + 3 + 2w = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 15 + 3 2w = 15 + 3 Combine like terms: 15 + 3 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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