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Simplifying 4(2w + -1) = 10w + 50 Reorder the terms: 4(-1 + 2w) = 10w + 50 (-1 * 4 + 2w * 4) = 10w + 50 (-4 + 8w) = 10w + 50 Reorder the terms: -4 + 8w = 50 + 10w Solving -4 + 8w = 50 + 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. -4 + 8w + -10w = 50 + 10w + -10w Combine like terms: 8w + -10w = -2w -4 + -2w = 50 + 10w + -10w Combine like terms: 10w + -10w = 0 -4 + -2w = 50 + 0 -4 + -2w = 50 Add '4' to each side of the equation. -4 + 4 + -2w = 50 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = 50 + 4 -2w = 50 + 4 Combine like terms: 50 + 4 = 54 -2w = 54 Divide each side by '-2'. w = -27 Simplifying w = -27
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