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Simplifying 9w + -14 + 3(w + -8) = 7 Reorder the terms: 9w + -14 + 3(-8 + w) = 7 9w + -14 + (-8 * 3 + w * 3) = 7 9w + -14 + (-24 + 3w) = 7 Reorder the terms: -14 + -24 + 9w + 3w = 7 Combine like terms: -14 + -24 = -38 -38 + 9w + 3w = 7 Combine like terms: 9w + 3w = 12w -38 + 12w = 7 Solving -38 + 12w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 12w = 7 + 38 Combine like terms: -38 + 38 = 0 0 + 12w = 7 + 38 12w = 7 + 38 Combine like terms: 7 + 38 = 45 12w = 45 Divide each side by '12'. w = 3.75 Simplifying w = 3.75
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