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Simplifying 6(w + -1) = -5(-4w + 1) + -6w Reorder the terms: 6(-1 + w) = -5(-4w + 1) + -6w (-1 * 6 + w * 6) = -5(-4w + 1) + -6w (-6 + 6w) = -5(-4w + 1) + -6w Reorder the terms: -6 + 6w = -5(1 + -4w) + -6w -6 + 6w = (1 * -5 + -4w * -5) + -6w -6 + 6w = (-5 + 20w) + -6w Combine like terms: 20w + -6w = 14w -6 + 6w = -5 + 14w Solving -6 + 6w = -5 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -6 + 6w + -14w = -5 + 14w + -14w Combine like terms: 6w + -14w = -8w -6 + -8w = -5 + 14w + -14w Combine like terms: 14w + -14w = 0 -6 + -8w = -5 + 0 -6 + -8w = -5 Add '6' to each side of the equation. -6 + 6 + -8w = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -8w = -5 + 6 -8w = -5 + 6 Combine like terms: -5 + 6 = 1 -8w = 1 Divide each side by '-8'. w = -0.125 Simplifying w = -0.125
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