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Simplifying -8(w + -4) = 2w + -38 Reorder the terms: -8(-4 + w) = 2w + -38 (-4 * -8 + w * -8) = 2w + -38 (32 + -8w) = 2w + -38 Reorder the terms: 32 + -8w = -38 + 2w Solving 32 + -8w = -38 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 32 + -8w + -2w = -38 + 2w + -2w Combine like terms: -8w + -2w = -10w 32 + -10w = -38 + 2w + -2w Combine like terms: 2w + -2w = 0 32 + -10w = -38 + 0 32 + -10w = -38 Add '-32' to each side of the equation. 32 + -32 + -10w = -38 + -32 Combine like terms: 32 + -32 = 0 0 + -10w = -38 + -32 -10w = -38 + -32 Combine like terms: -38 + -32 = -70 -10w = -70 Divide each side by '-10'. w = 7 Simplifying w = 7
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