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Simplifying 12 + -5(2w + -13) = 3(2x + -5) Reorder the terms: 12 + -5(-13 + 2w) = 3(2x + -5) 12 + (-13 * -5 + 2w * -5) = 3(2x + -5) 12 + (65 + -10w) = 3(2x + -5) Combine like terms: 12 + 65 = 77 77 + -10w = 3(2x + -5) Reorder the terms: 77 + -10w = 3(-5 + 2x) 77 + -10w = (-5 * 3 + 2x * 3) 77 + -10w = (-15 + 6x) Solving 77 + -10w = -15 + 6x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -10w = -15 + -77 + 6x Combine like terms: 77 + -77 = 0 0 + -10w = -15 + -77 + 6x -10w = -15 + -77 + 6x Combine like terms: -15 + -77 = -92 -10w = -92 + 6x Divide each side by '-10'. w = 9.2 + -0.6x Simplifying w = 9.2 + -0.6x
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