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Simplifying 3w + -49 = 8(w + -8) Reorder the terms: -49 + 3w = 8(w + -8) Reorder the terms: -49 + 3w = 8(-8 + w) -49 + 3w = (-8 * 8 + w * 8) -49 + 3w = (-64 + 8w) Solving -49 + 3w = -64 + 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. -49 + 3w + -8w = -64 + 8w + -8w Combine like terms: 3w + -8w = -5w -49 + -5w = -64 + 8w + -8w Combine like terms: 8w + -8w = 0 -49 + -5w = -64 + 0 -49 + -5w = -64 Add '49' to each side of the equation. -49 + 49 + -5w = -64 + 49 Combine like terms: -49 + 49 = 0 0 + -5w = -64 + 49 -5w = -64 + 49 Combine like terms: -64 + 49 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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