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Simplifying 5(w + -3) + -7W = -3 Reorder the terms: 5(-3 + w) + -7W = -3 (-3 * 5 + w * 5) + -7W = -3 (-15 + 5w) + -7W = -3 Reorder the terms: -15 + -7W + 5w = -3 Solving -15 + -7W + 5w = -3 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -7W + 15 + 5w = -3 + 15 Reorder the terms: -15 + 15 + -7W + 5w = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -7W + 5w = -3 + 15 -7W + 5w = -3 + 15 Combine like terms: -3 + 15 = 12 -7W + 5w = 12 Add '-5w' to each side of the equation. -7W + 5w + -5w = 12 + -5w Combine like terms: 5w + -5w = 0 -7W + 0 = 12 + -5w -7W = 12 + -5w Divide each side by '-7'. W = -1.714285714 + 0.7142857143w Simplifying W = -1.714285714 + 0.7142857143w
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