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Simplifying 4(2w + -3) = 2(3w + 5) Reorder the terms: 4(-3 + 2w) = 2(3w + 5) (-3 * 4 + 2w * 4) = 2(3w + 5) (-12 + 8w) = 2(3w + 5) Reorder the terms: -12 + 8w = 2(5 + 3w) -12 + 8w = (5 * 2 + 3w * 2) -12 + 8w = (10 + 6w) Solving -12 + 8w = 10 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -12 + 8w + -6w = 10 + 6w + -6w Combine like terms: 8w + -6w = 2w -12 + 2w = 10 + 6w + -6w Combine like terms: 6w + -6w = 0 -12 + 2w = 10 + 0 -12 + 2w = 10 Add '12' to each side of the equation. -12 + 12 + 2w = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = 10 + 12 2w = 10 + 12 Combine like terms: 10 + 12 = 22 2w = 22 Divide each side by '2'. w = 11 Simplifying w = 11
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