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Simplifying -10(w + 3) + 36 = -12 + -12 Reorder the terms: -10(3 + w) + 36 = -12 + -12 (3 * -10 + w * -10) + 36 = -12 + -12 (-30 + -10w) + 36 = -12 + -12 Reorder the terms: -30 + 36 + -10w = -12 + -12 Combine like terms: -30 + 36 = 6 6 + -10w = -12 + -12 Combine like terms: -12 + -12 = -24 6 + -10w = -24 Solving 6 + -10w = -24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -10w = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10w = -24 + -6 -10w = -24 + -6 Combine like terms: -24 + -6 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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