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Simplifying -4(w + 8) = 6w + -2 Reorder the terms: -4(8 + w) = 6w + -2 (8 * -4 + w * -4) = 6w + -2 (-32 + -4w) = 6w + -2 Reorder the terms: -32 + -4w = -2 + 6w Solving -32 + -4w = -2 + 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. -32 + -4w + -6w = -2 + 6w + -6w Combine like terms: -4w + -6w = -10w -32 + -10w = -2 + 6w + -6w Combine like terms: 6w + -6w = 0 -32 + -10w = -2 + 0 -32 + -10w = -2 Add '32' to each side of the equation. -32 + 32 + -10w = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -10w = -2 + 32 -10w = -2 + 32 Combine like terms: -2 + 32 = 30 -10w = 30 Divide each side by '-10'. w = -3 Simplifying w = -3
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