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Simplifying 3w + 6(w + -7) = -15 Reorder the terms: 3w + 6(-7 + w) = -15 3w + (-7 * 6 + w * 6) = -15 3w + (-42 + 6w) = -15 Reorder the terms: -42 + 3w + 6w = -15 Combine like terms: 3w + 6w = 9w -42 + 9w = -15 Solving -42 + 9w = -15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 9w = -15 + 42 Combine like terms: -42 + 42 = 0 0 + 9w = -15 + 42 9w = -15 + 42 Combine like terms: -15 + 42 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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