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Simplifying -3(2w + -1) + 2w = 1 + 2(4w + -6) Reorder the terms: -3(-1 + 2w) + 2w = 1 + 2(4w + -6) (-1 * -3 + 2w * -3) + 2w = 1 + 2(4w + -6) (3 + -6w) + 2w = 1 + 2(4w + -6) Combine like terms: -6w + 2w = -4w 3 + -4w = 1 + 2(4w + -6) Reorder the terms: 3 + -4w = 1 + 2(-6 + 4w) 3 + -4w = 1 + (-6 * 2 + 4w * 2) 3 + -4w = 1 + (-12 + 8w) Combine like terms: 1 + -12 = -11 3 + -4w = -11 + 8w Solving 3 + -4w = -11 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 3 + -4w + -8w = -11 + 8w + -8w Combine like terms: -4w + -8w = -12w 3 + -12w = -11 + 8w + -8w Combine like terms: 8w + -8w = 0 3 + -12w = -11 + 0 3 + -12w = -11 Add '-3' to each side of the equation. 3 + -3 + -12w = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -12w = -11 + -3 -12w = -11 + -3 Combine like terms: -11 + -3 = -14 -12w = -14 Divide each side by '-12'. w = 1.166666667 Simplifying w = 1.166666667
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