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Simplifying 2(w + -1) + 4w = 3(w + -1) + 7 Reorder the terms: 2(-1 + w) + 4w = 3(w + -1) + 7 (-1 * 2 + w * 2) + 4w = 3(w + -1) + 7 (-2 + 2w) + 4w = 3(w + -1) + 7 Combine like terms: 2w + 4w = 6w -2 + 6w = 3(w + -1) + 7 Reorder the terms: -2 + 6w = 3(-1 + w) + 7 -2 + 6w = (-1 * 3 + w * 3) + 7 -2 + 6w = (-3 + 3w) + 7 Reorder the terms: -2 + 6w = -3 + 7 + 3w Combine like terms: -3 + 7 = 4 -2 + 6w = 4 + 3w Solving -2 + 6w = 4 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + 6w + -3w = 4 + 3w + -3w Combine like terms: 6w + -3w = 3w -2 + 3w = 4 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 3w = 4 + 0 -2 + 3w = 4 Add '2' to each side of the equation. -2 + 2 + 3w = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = 4 + 2 3w = 4 + 2 Combine like terms: 4 + 2 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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