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Simplifying 5w + -3 = 8(w + 3) Reorder the terms: -3 + 5w = 8(w + 3) Reorder the terms: -3 + 5w = 8(3 + w) -3 + 5w = (3 * 8 + w * 8) -3 + 5w = (24 + 8w) Solving -3 + 5w = 24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -3 + 5w + -8w = 24 + 8w + -8w Combine like terms: 5w + -8w = -3w -3 + -3w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 -3 + -3w = 24 + 0 -3 + -3w = 24 Add '3' to each side of the equation. -3 + 3 + -3w = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -3w = 24 + 3 -3w = 24 + 3 Combine like terms: 24 + 3 = 27 -3w = 27 Divide each side by '-3'. w = -9 Simplifying w = -9
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