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Simplifying 2(w + -4) = -3(w + 1) + 11 Reorder the terms: 2(-4 + w) = -3(w + 1) + 11 (-4 * 2 + w * 2) = -3(w + 1) + 11 (-8 + 2w) = -3(w + 1) + 11 Reorder the terms: -8 + 2w = -3(1 + w) + 11 -8 + 2w = (1 * -3 + w * -3) + 11 -8 + 2w = (-3 + -3w) + 11 Reorder the terms: -8 + 2w = -3 + 11 + -3w Combine like terms: -3 + 11 = 8 -8 + 2w = 8 + -3w Solving -8 + 2w = 8 + -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 + 2w + 3w = 8 + -3w + 3w Combine like terms: 2w + 3w = 5w -8 + 5w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 -8 + 5w = 8 + 0 -8 + 5w = 8 Add '8' to each side of the equation. -8 + 8 + 5w = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 5w = 8 + 8 5w = 8 + 8 Combine like terms: 8 + 8 = 16 5w = 16 Divide each side by '5'. w = 3.2 Simplifying w = 3.2
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