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Simplifying -10 = 5(2w + -1(-4)) Multiply -1 * -4 -10 = 5(2w + 4) Reorder the terms: -10 = 5(4 + 2w) -10 = (4 * 5 + 2w * 5) -10 = (20 + 10w) Solving -10 = 20 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -10 + -10w = 20 + 10w + -10w Combine like terms: 10w + -10w = 0 -10 + -10w = 20 + 0 -10 + -10w = 20 Add '10' to each side of the equation. -10 + 10 + -10w = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -10w = 20 + 10 -10w = 20 + 10 Combine like terms: 20 + 10 = 30 -10w = 30 Divide each side by '-10'. w = -3 Simplifying w = -3
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