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Simplifying 5 + 3(w + -4) = 2(w + 1) Reorder the terms: 5 + 3(-4 + w) = 2(w + 1) 5 + (-4 * 3 + w * 3) = 2(w + 1) 5 + (-12 + 3w) = 2(w + 1) Combine like terms: 5 + -12 = -7 -7 + 3w = 2(w + 1) Reorder the terms: -7 + 3w = 2(1 + w) -7 + 3w = (1 * 2 + w * 2) -7 + 3w = (2 + 2w) Solving -7 + 3w = 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. -7 + 3w + -2w = 2 + 2w + -2w Combine like terms: 3w + -2w = 1w -7 + 1w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + 1w = 2 + 0 -7 + 1w = 2 Add '7' to each side of the equation. -7 + 7 + 1w = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = 2 + 7 1w = 2 + 7 Combine like terms: 2 + 7 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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