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Simplifying -6(2w + -8) + 9w = 7(w + 6) Reorder the terms: -6(-8 + 2w) + 9w = 7(w + 6) (-8 * -6 + 2w * -6) + 9w = 7(w + 6) (48 + -12w) + 9w = 7(w + 6) Combine like terms: -12w + 9w = -3w 48 + -3w = 7(w + 6) Reorder the terms: 48 + -3w = 7(6 + w) 48 + -3w = (6 * 7 + w * 7) 48 + -3w = (42 + 7w) Solving 48 + -3w = 42 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 48 + -3w + -7w = 42 + 7w + -7w Combine like terms: -3w + -7w = -10w 48 + -10w = 42 + 7w + -7w Combine like terms: 7w + -7w = 0 48 + -10w = 42 + 0 48 + -10w = 42 Add '-48' to each side of the equation. 48 + -48 + -10w = 42 + -48 Combine like terms: 48 + -48 = 0 0 + -10w = 42 + -48 -10w = 42 + -48 Combine like terms: 42 + -48 = -6 -10w = -6 Divide each side by '-10'. w = 0.6 Simplifying w = 0.6
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