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Simplifying -4(2w + -11) = -3(2w + 4) Reorder the terms: -4(-11 + 2w) = -3(2w + 4) (-11 * -4 + 2w * -4) = -3(2w + 4) (44 + -8w) = -3(2w + 4) Reorder the terms: 44 + -8w = -3(4 + 2w) 44 + -8w = (4 * -3 + 2w * -3) 44 + -8w = (-12 + -6w) Solving 44 + -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. 44 + -8w + 6w = -12 + -6w + 6w Combine like terms: -8w + 6w = -2w 44 + -2w = -12 + -6w + 6w Combine like terms: -6w + 6w = 0 44 + -2w = -12 + 0 44 + -2w = -12 Add '-44' to each side of the equation. 44 + -44 + -2w = -12 + -44 Combine like terms: 44 + -44 = 0 0 + -2w = -12 + -44 -2w = -12 + -44 Combine like terms: -12 + -44 = -56 -2w = -56 Divide each side by '-2'. w = 28 Simplifying w = 28
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