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Simplifying 5(w + 2) + w = 3(w + -1) + 1 Reorder the terms: 5(2 + w) + w = 3(w + -1) + 1 (2 * 5 + w * 5) + w = 3(w + -1) + 1 (10 + 5w) + w = 3(w + -1) + 1 Combine like terms: 5w + w = 6w 10 + 6w = 3(w + -1) + 1 Reorder the terms: 10 + 6w = 3(-1 + w) + 1 10 + 6w = (-1 * 3 + w * 3) + 1 10 + 6w = (-3 + 3w) + 1 Reorder the terms: 10 + 6w = -3 + 1 + 3w Combine like terms: -3 + 1 = -2 10 + 6w = -2 + 3w Solving 10 + 6w = -2 + 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. 10 + 6w + -3w = -2 + 3w + -3w Combine like terms: 6w + -3w = 3w 10 + 3w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + 3w = -2 + 0 10 + 3w = -2 Add '-10' to each side of the equation. 10 + -10 + 3w = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = -2 + -10 3w = -2 + -10 Combine like terms: -2 + -10 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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