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Simplifying 6(w + -7) + -3 = -5(-3 + 7) + -3w Reorder the terms: 6(-7 + w) + -3 = -5(-3 + 7) + -3w (-7 * 6 + w * 6) + -3 = -5(-3 + 7) + -3w (-42 + 6w) + -3 = -5(-3 + 7) + -3w Reorder the terms: -42 + -3 + 6w = -5(-3 + 7) + -3w Combine like terms: -42 + -3 = -45 -45 + 6w = -5(-3 + 7) + -3w Combine like terms: -3 + 7 = 4 -45 + 6w = -5(4) + -3w Multiply -5 * 4 -45 + 6w = -20 + -3w Solving -45 + 6w = -20 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -45 + 6w + 3w = -20 + -3w + 3w Combine like terms: 6w + 3w = 9w -45 + 9w = -20 + -3w + 3w Combine like terms: -3w + 3w = 0 -45 + 9w = -20 + 0 -45 + 9w = -20 Add '45' to each side of the equation. -45 + 45 + 9w = -20 + 45 Combine like terms: -45 + 45 = 0 0 + 9w = -20 + 45 9w = -20 + 45 Combine like terms: -20 + 45 = 25 9w = 25 Divide each side by '9'. w = 2.777777778 Simplifying w = 2.777777778
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