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Simplifying 6(w + -8) = -78 Reorder the terms: 6(-8 + w) = -78 (-8 * 6 + w * 6) = -78 (-48 + 6w) = -78 Solving -48 + 6w = -78 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 6w = -78 + 48 Combine like terms: -48 + 48 = 0 0 + 6w = -78 + 48 6w = -78 + 48 Combine like terms: -78 + 48 = -30 6w = -30 Divide each side by '6'. w = -5 Simplifying w = -5
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