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Simplifying 2(w + -6) + -5w = 4 + -1(6w + 1) Reorder the terms: 2(-6 + w) + -5w = 4 + -1(6w + 1) (-6 * 2 + w * 2) + -5w = 4 + -1(6w + 1) (-12 + 2w) + -5w = 4 + -1(6w + 1) Combine like terms: 2w + -5w = -3w -12 + -3w = 4 + -1(6w + 1) Reorder the terms: -12 + -3w = 4 + -1(1 + 6w) -12 + -3w = 4 + (1 * -1 + 6w * -1) -12 + -3w = 4 + (-1 + -6w) Combine like terms: 4 + -1 = 3 -12 + -3w = 3 + -6w Solving -12 + -3w = 3 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -12 + -3w + 6w = 3 + -6w + 6w Combine like terms: -3w + 6w = 3w -12 + 3w = 3 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 3w = 3 + 0 -12 + 3w = 3 Add '12' to each side of the equation. -12 + 12 + 3w = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3w = 3 + 12 3w = 3 + 12 Combine like terms: 3 + 12 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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