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Simplifying 8w + -40 = -3(4 + -5w) Reorder the terms: -40 + 8w = -3(4 + -5w) -40 + 8w = (4 * -3 + -5w * -3) -40 + 8w = (-12 + 15w) Solving -40 + 8w = -12 + 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. -40 + 8w + -15w = -12 + 15w + -15w Combine like terms: 8w + -15w = -7w -40 + -7w = -12 + 15w + -15w Combine like terms: 15w + -15w = 0 -40 + -7w = -12 + 0 -40 + -7w = -12 Add '40' to each side of the equation. -40 + 40 + -7w = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -7w = -12 + 40 -7w = -12 + 40 Combine like terms: -12 + 40 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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