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Simplifying 10(5 + W) = -3(W + 5) (5 * 10 + W * 10) = -3(W + 5) (50 + 10W) = -3(W + 5) Reorder the terms: 50 + 10W = -3(5 + W) 50 + 10W = (5 * -3 + W * -3) 50 + 10W = (-15 + -3W) Solving 50 + 10W = -15 + -3W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '3W' to each side of the equation. 50 + 10W + 3W = -15 + -3W + 3W Combine like terms: 10W + 3W = 13W 50 + 13W = -15 + -3W + 3W Combine like terms: -3W + 3W = 0 50 + 13W = -15 + 0 50 + 13W = -15 Add '-50' to each side of the equation. 50 + -50 + 13W = -15 + -50 Combine like terms: 50 + -50 = 0 0 + 13W = -15 + -50 13W = -15 + -50 Combine like terms: -15 + -50 = -65 13W = -65 Divide each side by '13'. W = -5 Simplifying W = -5
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