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Simplifying 6(w + -3) = 5w + -3 Reorder the terms: 6(-3 + w) = 5w + -3 (-3 * 6 + w * 6) = 5w + -3 (-18 + 6w) = 5w + -3 Reorder the terms: -18 + 6w = -3 + 5w Solving -18 + 6w = -3 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -18 + 6w + -5w = -3 + 5w + -5w Combine like terms: 6w + -5w = 1w -18 + 1w = -3 + 5w + -5w Combine like terms: 5w + -5w = 0 -18 + 1w = -3 + 0 -18 + 1w = -3 Add '18' to each side of the equation. -18 + 18 + 1w = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 1w = -3 + 18 1w = -3 + 18 Combine like terms: -3 + 18 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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