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Simplifying 5(w + -6) = 7w + -46 Reorder the terms: 5(-6 + w) = 7w + -46 (-6 * 5 + w * 5) = 7w + -46 (-30 + 5w) = 7w + -46 Reorder the terms: -30 + 5w = -46 + 7w Solving -30 + 5w = -46 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -30 + 5w + -7w = -46 + 7w + -7w Combine like terms: 5w + -7w = -2w -30 + -2w = -46 + 7w + -7w Combine like terms: 7w + -7w = 0 -30 + -2w = -46 + 0 -30 + -2w = -46 Add '30' to each side of the equation. -30 + 30 + -2w = -46 + 30 Combine like terms: -30 + 30 = 0 0 + -2w = -46 + 30 -2w = -46 + 30 Combine like terms: -46 + 30 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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