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Simplifying 6(w + -4) + -7 = -7(-3w + 5) + -1w Reorder the terms: 6(-4 + w) + -7 = -7(-3w + 5) + -1w (-4 * 6 + w * 6) + -7 = -7(-3w + 5) + -1w (-24 + 6w) + -7 = -7(-3w + 5) + -1w Reorder the terms: -24 + -7 + 6w = -7(-3w + 5) + -1w Combine like terms: -24 + -7 = -31 -31 + 6w = -7(-3w + 5) + -1w Reorder the terms: -31 + 6w = -7(5 + -3w) + -1w -31 + 6w = (5 * -7 + -3w * -7) + -1w -31 + 6w = (-35 + 21w) + -1w Combine like terms: 21w + -1w = 20w -31 + 6w = -35 + 20w Solving -31 + 6w = -35 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -31 + 6w + -20w = -35 + 20w + -20w Combine like terms: 6w + -20w = -14w -31 + -14w = -35 + 20w + -20w Combine like terms: 20w + -20w = 0 -31 + -14w = -35 + 0 -31 + -14w = -35 Add '31' to each side of the equation. -31 + 31 + -14w = -35 + 31 Combine like terms: -31 + 31 = 0 0 + -14w = -35 + 31 -14w = -35 + 31 Combine like terms: -35 + 31 = -4 -14w = -4 Divide each side by '-14'. w = 0.2857142857 Simplifying w = 0.2857142857
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