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Simplifying -4(6w + -2) + 6w = -6(w + -1) Reorder the terms: -4(-2 + 6w) + 6w = -6(w + -1) (-2 * -4 + 6w * -4) + 6w = -6(w + -1) (8 + -24w) + 6w = -6(w + -1) Combine like terms: -24w + 6w = -18w 8 + -18w = -6(w + -1) Reorder the terms: 8 + -18w = -6(-1 + w) 8 + -18w = (-1 * -6 + w * -6) 8 + -18w = (6 + -6w) Solving 8 + -18w = 6 + -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. 8 + -18w + 6w = 6 + -6w + 6w Combine like terms: -18w + 6w = -12w 8 + -12w = 6 + -6w + 6w Combine like terms: -6w + 6w = 0 8 + -12w = 6 + 0 8 + -12w = 6 Add '-8' to each side of the equation. 8 + -8 + -12w = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -12w = 6 + -8 -12w = 6 + -8 Combine like terms: 6 + -8 = -2 -12w = -2 Divide each side by '-12'. w = 0.1666666667 Simplifying w = 0.1666666667
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