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Simplifying -4(2w + -1) + 6w = 6 + 2(2w + -6) Reorder the terms: -4(-1 + 2w) + 6w = 6 + 2(2w + -6) (-1 * -4 + 2w * -4) + 6w = 6 + 2(2w + -6) (4 + -8w) + 6w = 6 + 2(2w + -6) Combine like terms: -8w + 6w = -2w 4 + -2w = 6 + 2(2w + -6) Reorder the terms: 4 + -2w = 6 + 2(-6 + 2w) 4 + -2w = 6 + (-6 * 2 + 2w * 2) 4 + -2w = 6 + (-12 + 4w) Combine like terms: 6 + -12 = -6 4 + -2w = -6 + 4w Solving 4 + -2w = -6 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 4 + -2w + -4w = -6 + 4w + -4w Combine like terms: -2w + -4w = -6w 4 + -6w = -6 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + -6w = -6 + 0 4 + -6w = -6 Add '-4' to each side of the equation. 4 + -4 + -6w = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = -6 + -4 -6w = -6 + -4 Combine like terms: -6 + -4 = -10 -6w = -10 Divide each side by '-6'. w = 1.666666667 Simplifying w = 1.666666667
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