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Simplifying 12 + -4(2w + -11) = -3(2w + 4) Reorder the terms: 12 + -4(-11 + 2w) = -3(2w + 4) 12 + (-11 * -4 + 2w * -4) = -3(2w + 4) 12 + (44 + -8w) = -3(2w + 4) Combine like terms: 12 + 44 = 56 56 + -8w = -3(2w + 4) Reorder the terms: 56 + -8w = -3(4 + 2w) 56 + -8w = (4 * -3 + 2w * -3) 56 + -8w = (-12 + -6w) Solving 56 + -8w = -12 + -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. 56 + -8w + 6w = -12 + -6w + 6w Combine like terms: -8w + 6w = -2w 56 + -2w = -12 + -6w + 6w Combine like terms: -6w + 6w = 0 56 + -2w = -12 + 0 56 + -2w = -12 Add '-56' to each side of the equation. 56 + -56 + -2w = -12 + -56 Combine like terms: 56 + -56 = 0 0 + -2w = -12 + -56 -2w = -12 + -56 Combine like terms: -12 + -56 = -68 -2w = -68 Divide each side by '-2'. w = 34 Simplifying w = 34
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