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Simplifying 6(2w + 8) + -7w = 10w + -15 + -12 Reorder the terms: 6(8 + 2w) + -7w = 10w + -15 + -12 (8 * 6 + 2w * 6) + -7w = 10w + -15 + -12 (48 + 12w) + -7w = 10w + -15 + -12 Combine like terms: 12w + -7w = 5w 48 + 5w = 10w + -15 + -12 Reorder the terms: 48 + 5w = -15 + -12 + 10w Combine like terms: -15 + -12 = -27 48 + 5w = -27 + 10w Solving 48 + 5w = -27 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 48 + 5w + -10w = -27 + 10w + -10w Combine like terms: 5w + -10w = -5w 48 + -5w = -27 + 10w + -10w Combine like terms: 10w + -10w = 0 48 + -5w = -27 + 0 48 + -5w = -27 Add '-48' to each side of the equation. 48 + -48 + -5w = -27 + -48 Combine like terms: 48 + -48 = 0 0 + -5w = -27 + -48 -5w = -27 + -48 Combine like terms: -27 + -48 = -75 -5w = -75 Divide each side by '-5'. w = 15 Simplifying w = 15
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