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Simplifying 3(4w + -1) = -10(w + -3) + 4 Reorder the terms: 3(-1 + 4w) = -10(w + -3) + 4 (-1 * 3 + 4w * 3) = -10(w + -3) + 4 (-3 + 12w) = -10(w + -3) + 4 Reorder the terms: -3 + 12w = -10(-3 + w) + 4 -3 + 12w = (-3 * -10 + w * -10) + 4 -3 + 12w = (30 + -10w) + 4 Reorder the terms: -3 + 12w = 30 + 4 + -10w Combine like terms: 30 + 4 = 34 -3 + 12w = 34 + -10w Solving -3 + 12w = 34 + -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. -3 + 12w + 10w = 34 + -10w + 10w Combine like terms: 12w + 10w = 22w -3 + 22w = 34 + -10w + 10w Combine like terms: -10w + 10w = 0 -3 + 22w = 34 + 0 -3 + 22w = 34 Add '3' to each side of the equation. -3 + 3 + 22w = 34 + 3 Combine like terms: -3 + 3 = 0 0 + 22w = 34 + 3 22w = 34 + 3 Combine like terms: 34 + 3 = 37 22w = 37 Divide each side by '22'. w = 1.681818182 Simplifying w = 1.681818182
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