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Simplifying 6(w + -4) + -1 = -3(-9w + 7) + -7w Reorder the terms: 6(-4 + w) + -1 = -3(-9w + 7) + -7w (-4 * 6 + w * 6) + -1 = -3(-9w + 7) + -7w (-24 + 6w) + -1 = -3(-9w + 7) + -7w Reorder the terms: -24 + -1 + 6w = -3(-9w + 7) + -7w Combine like terms: -24 + -1 = -25 -25 + 6w = -3(-9w + 7) + -7w Reorder the terms: -25 + 6w = -3(7 + -9w) + -7w -25 + 6w = (7 * -3 + -9w * -3) + -7w -25 + 6w = (-21 + 27w) + -7w Combine like terms: 27w + -7w = 20w -25 + 6w = -21 + 20w Solving -25 + 6w = -21 + 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. -25 + 6w + -20w = -21 + 20w + -20w Combine like terms: 6w + -20w = -14w -25 + -14w = -21 + 20w + -20w Combine like terms: 20w + -20w = 0 -25 + -14w = -21 + 0 -25 + -14w = -21 Add '25' to each side of the equation. -25 + 25 + -14w = -21 + 25 Combine like terms: -25 + 25 = 0 0 + -14w = -21 + 25 -14w = -21 + 25 Combine like terms: -21 + 25 = 4 -14w = 4 Divide each side by '-14'. w = -0.2857142857 Simplifying w = -0.2857142857
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