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Simplifying 4(w + -1) = 6w + 2 + -2(-6w + -6) Reorder the terms: 4(-1 + w) = 6w + 2 + -2(-6w + -6) (-1 * 4 + w * 4) = 6w + 2 + -2(-6w + -6) (-4 + 4w) = 6w + 2 + -2(-6w + -6) Reorder the terms: -4 + 4w = 6w + 2 + -2(-6 + -6w) -4 + 4w = 6w + 2 + (-6 * -2 + -6w * -2) -4 + 4w = 6w + 2 + (12 + 12w) Reorder the terms: -4 + 4w = 2 + 12 + 6w + 12w Combine like terms: 2 + 12 = 14 -4 + 4w = 14 + 6w + 12w Combine like terms: 6w + 12w = 18w -4 + 4w = 14 + 18w Solving -4 + 4w = 14 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -4 + 4w + -18w = 14 + 18w + -18w Combine like terms: 4w + -18w = -14w -4 + -14w = 14 + 18w + -18w Combine like terms: 18w + -18w = 0 -4 + -14w = 14 + 0 -4 + -14w = 14 Add '4' to each side of the equation. -4 + 4 + -14w = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -14w = 14 + 4 -14w = 14 + 4 Combine like terms: 14 + 4 = 18 -14w = 18 Divide each side by '-14'. w = -1.285714286 Simplifying w = -1.285714286
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