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Simplifying w + -3 = 8(w + 3) Reorder the terms: -3 + w = 8(w + 3) Reorder the terms: -3 + w = 8(3 + w) -3 + w = (3 * 8 + w * 8) -3 + w = (24 + 8w) Solving -3 + w = 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 + w + -8w = 24 + 8w + -8w Combine like terms: w + -8w = -7w -3 + -7w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 -3 + -7w = 24 + 0 -3 + -7w = 24 Add '3' to each side of the equation. -3 + 3 + -7w = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -7w = 24 + 3 -7w = 24 + 3 Combine like terms: 24 + 3 = 27 -7w = 27 Divide each side by '-7'. w = -3.857142857 Simplifying w = -3.857142857
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