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Simplifying 5w + -7(0.5w + 8) = -7(3 + w) Reorder the terms: 5w + -7(8 + 0.5w) = -7(3 + w) 5w + (8 * -7 + 0.5w * -7) = -7(3 + w) 5w + (-56 + -3.5w) = -7(3 + w) Reorder the terms: -56 + 5w + -3.5w = -7(3 + w) Combine like terms: 5w + -3.5w = 1.5w -56 + 1.5w = -7(3 + w) -56 + 1.5w = (3 * -7 + w * -7) -56 + 1.5w = (-21 + -7w) Solving -56 + 1.5w = -21 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -56 + 1.5w + 7w = -21 + -7w + 7w Combine like terms: 1.5w + 7w = 8.5w -56 + 8.5w = -21 + -7w + 7w Combine like terms: -7w + 7w = 0 -56 + 8.5w = -21 + 0 -56 + 8.5w = -21 Add '56' to each side of the equation. -56 + 56 + 8.5w = -21 + 56 Combine like terms: -56 + 56 = 0 0 + 8.5w = -21 + 56 8.5w = -21 + 56 Combine like terms: -21 + 56 = 35 8.5w = 35 Divide each side by '8.5'. w = 4.117647059 Simplifying w = 4.117647059
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