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Simplifying Q(w) = 4(4w + 16) + -4(w + 54) Multiply Q * w wQ = 4(4w + 16) + -4(w + 54) Reorder the terms: wQ = 4(16 + 4w) + -4(w + 54) wQ = (16 * 4 + 4w * 4) + -4(w + 54) wQ = (64 + 16w) + -4(w + 54) Reorder the terms: wQ = 64 + 16w + -4(54 + w) wQ = 64 + 16w + (54 * -4 + w * -4) wQ = 64 + 16w + (-216 + -4w) Reorder the terms: wQ = 64 + -216 + 16w + -4w Combine like terms: 64 + -216 = -152 wQ = -152 + 16w + -4w Combine like terms: 16w + -4w = 12w wQ = -152 + 12w Solving wQ = -152 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -12w + wQ = -152 + 12w + -12w Combine like terms: 12w + -12w = 0 -12w + wQ = -152 + 0 -12w + wQ = -152 Reorder the terms: 152 + -12w + wQ = -152 + 152 Combine like terms: -152 + 152 = 0 152 + -12w + wQ = 0 The solution to this equation could not be determined.
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