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Simplifying 5(W + 2) = -3(3W + -4) + 2W Reorder the terms: 5(2 + W) = -3(3W + -4) + 2W (2 * 5 + W * 5) = -3(3W + -4) + 2W (10 + 5W) = -3(3W + -4) + 2W Reorder the terms: 10 + 5W = -3(-4 + 3W) + 2W 10 + 5W = (-4 * -3 + 3W * -3) + 2W 10 + 5W = (12 + -9W) + 2W Combine like terms: -9W + 2W = -7W 10 + 5W = 12 + -7W Solving 10 + 5W = 12 + -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. 10 + 5W + 7W = 12 + -7W + 7W Combine like terms: 5W + 7W = 12W 10 + 12W = 12 + -7W + 7W Combine like terms: -7W + 7W = 0 10 + 12W = 12 + 0 10 + 12W = 12 Add '-10' to each side of the equation. 10 + -10 + 12W = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 12W = 12 + -10 12W = 12 + -10 Combine like terms: 12 + -10 = 2 12W = 2 Divide each side by '12'. W = 0.1666666667 Simplifying W = 0.1666666667
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