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Simplifying -3(2w + 1) + -2(w + -2) = 5 Reorder the terms: -3(1 + 2w) + -2(w + -2) = 5 (1 * -3 + 2w * -3) + -2(w + -2) = 5 (-3 + -6w) + -2(w + -2) = 5 Reorder the terms: -3 + -6w + -2(-2 + w) = 5 -3 + -6w + (-2 * -2 + w * -2) = 5 -3 + -6w + (4 + -2w) = 5 Reorder the terms: -3 + 4 + -6w + -2w = 5 Combine like terms: -3 + 4 = 1 1 + -6w + -2w = 5 Combine like terms: -6w + -2w = -8w 1 + -8w = 5 Solving 1 + -8w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8w = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -8w = 5 + -1 -8w = 5 + -1 Combine like terms: 5 + -1 = 4 -8w = 4 Divide each side by '-8'. w = -0.5 Simplifying w = -0.5
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