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Simplifying 136 = 4(3w + -5) + 3w + 6 Reorder the terms: 136 = 4(-5 + 3w) + 3w + 6 136 = (-5 * 4 + 3w * 4) + 3w + 6 136 = (-20 + 12w) + 3w + 6 Reorder the terms: 136 = -20 + 6 + 12w + 3w Combine like terms: -20 + 6 = -14 136 = -14 + 12w + 3w Combine like terms: 12w + 3w = 15w 136 = -14 + 15w Solving 136 = -14 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 136 + -15w = -14 + 15w + -15w Combine like terms: 15w + -15w = 0 136 + -15w = -14 + 0 136 + -15w = -14 Add '-136' to each side of the equation. 136 + -136 + -15w = -14 + -136 Combine like terms: 136 + -136 = 0 0 + -15w = -14 + -136 -15w = -14 + -136 Combine like terms: -14 + -136 = -150 -15w = -150 Divide each side by '-15'. w = 10 Simplifying w = 10
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