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Simplifying 5(w + -1) + -2 + -3 = -3(-7w + 5) + -6w Reorder the terms: 5(-1 + w) + -2 + -3 = -3(-7w + 5) + -6w (-1 * 5 + w * 5) + -2 + -3 = -3(-7w + 5) + -6w (-5 + 5w) + -2 + -3 = -3(-7w + 5) + -6w Reorder the terms: -5 + -2 + -3 + 5w = -3(-7w + 5) + -6w Combine like terms: -5 + -2 = -7 -7 + -3 + 5w = -3(-7w + 5) + -6w Combine like terms: -7 + -3 = -10 -10 + 5w = -3(-7w + 5) + -6w Reorder the terms: -10 + 5w = -3(5 + -7w) + -6w -10 + 5w = (5 * -3 + -7w * -3) + -6w -10 + 5w = (-15 + 21w) + -6w Combine like terms: 21w + -6w = 15w -10 + 5w = -15 + 15w Solving -10 + 5w = -15 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -10 + 5w + -15w = -15 + 15w + -15w Combine like terms: 5w + -15w = -10w -10 + -10w = -15 + 15w + -15w Combine like terms: 15w + -15w = 0 -10 + -10w = -15 + 0 -10 + -10w = -15 Add '10' to each side of the equation. -10 + 10 + -10w = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -10w = -15 + 10 -10w = -15 + 10 Combine like terms: -15 + 10 = -5 -10w = -5 Divide each side by '-10'. w = 0.5 Simplifying w = 0.5
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