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Simplifying 3(8w + -2) = 46 + -2(12w + 1) Reorder the terms: 3(-2 + 8w) = 46 + -2(12w + 1) (-2 * 3 + 8w * 3) = 46 + -2(12w + 1) (-6 + 24w) = 46 + -2(12w + 1) Reorder the terms: -6 + 24w = 46 + -2(1 + 12w) -6 + 24w = 46 + (1 * -2 + 12w * -2) -6 + 24w = 46 + (-2 + -24w) Combine like terms: 46 + -2 = 44 -6 + 24w = 44 + -24w Solving -6 + 24w = 44 + -24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24w' to each side of the equation. -6 + 24w + 24w = 44 + -24w + 24w Combine like terms: 24w + 24w = 48w -6 + 48w = 44 + -24w + 24w Combine like terms: -24w + 24w = 0 -6 + 48w = 44 + 0 -6 + 48w = 44 Add '6' to each side of the equation. -6 + 6 + 48w = 44 + 6 Combine like terms: -6 + 6 = 0 0 + 48w = 44 + 6 48w = 44 + 6 Combine like terms: 44 + 6 = 50 48w = 50 Divide each side by '48'. w = 1.041666667 Simplifying w = 1.041666667
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