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Simplifying 8w + -12 + 6 + -3w = 7 + 2(w + -5) Reorder the terms: -12 + 6 + 8w + -3w = 7 + 2(w + -5) Combine like terms: -12 + 6 = -6 -6 + 8w + -3w = 7 + 2(w + -5) Combine like terms: 8w + -3w = 5w -6 + 5w = 7 + 2(w + -5) Reorder the terms: -6 + 5w = 7 + 2(-5 + w) -6 + 5w = 7 + (-5 * 2 + w * 2) -6 + 5w = 7 + (-10 + 2w) Combine like terms: 7 + -10 = -3 -6 + 5w = -3 + 2w Solving -6 + 5w = -3 + 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. -6 + 5w + -2w = -3 + 2w + -2w Combine like terms: 5w + -2w = 3w -6 + 3w = -3 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 3w = -3 + 0 -6 + 3w = -3 Add '6' to each side of the equation. -6 + 6 + 3w = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = -3 + 6 3w = -3 + 6 Combine like terms: -3 + 6 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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