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Simplifying 2(4w + -1) = 10(w + -3) + 4 Reorder the terms: 2(-1 + 4w) = 10(w + -3) + 4 (-1 * 2 + 4w * 2) = 10(w + -3) + 4 (-2 + 8w) = 10(w + -3) + 4 Reorder the terms: -2 + 8w = 10(-3 + w) + 4 -2 + 8w = (-3 * 10 + w * 10) + 4 -2 + 8w = (-30 + 10w) + 4 Reorder the terms: -2 + 8w = -30 + 4 + 10w Combine like terms: -30 + 4 = -26 -2 + 8w = -26 + 10w Solving -2 + 8w = -26 + 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. -2 + 8w + -10w = -26 + 10w + -10w Combine like terms: 8w + -10w = -2w -2 + -2w = -26 + 10w + -10w Combine like terms: 10w + -10w = 0 -2 + -2w = -26 + 0 -2 + -2w = -26 Add '2' to each side of the equation. -2 + 2 + -2w = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = -26 + 2 -2w = -26 + 2 Combine like terms: -26 + 2 = -24 -2w = -24 Divide each side by '-2'. w = 12 Simplifying w = 12
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