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Simplifying 5(3w + 1) = -7 Reorder the terms: 5(1 + 3w) = -7 (1 * 5 + 3w * 5) = -7 (5 + 15w) = -7 Solving 5 + 15w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 15w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 15w = -7 + -5 15w = -7 + -5 Combine like terms: -7 + -5 = -12 15w = -12 Divide each side by '15'. w = -0.8 Simplifying w = -0.8
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