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Simplifying -7(0.5w + 8) = -7(3 + W) Reorder the terms: -7(8 + 0.5w) = -7(3 + W) (8 * -7 + 0.5w * -7) = -7(3 + W) (-56 + -3.5w) = -7(3 + W) -56 + -3.5w = (3 * -7 + W * -7) -56 + -3.5w = (-21 + -7W) Solving -56 + -3.5w = -21 + -7W Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -3.5w = -21 + 56 + -7W Combine like terms: -56 + 56 = 0 0 + -3.5w = -21 + 56 + -7W -3.5w = -21 + 56 + -7W Combine like terms: -21 + 56 = 35 -3.5w = 35 + -7W Divide each side by '-3.5'. w = -10 + 2W Simplifying w = -10 + 2W
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