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Simplifying 2(3w + -4) = 3w + 1 Reorder the terms: 2(-4 + 3w) = 3w + 1 (-4 * 2 + 3w * 2) = 3w + 1 (-8 + 6w) = 3w + 1 Reorder the terms: -8 + 6w = 1 + 3w Solving -8 + 6w = 1 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -8 + 6w + -3w = 1 + 3w + -3w Combine like terms: 6w + -3w = 3w -8 + 3w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 3w = 1 + 0 -8 + 3w = 1 Add '8' to each side of the equation. -8 + 8 + 3w = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 1 + 8 3w = 1 + 8 Combine like terms: 1 + 8 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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