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Simplifying 8 = 4(q + -8) + 4 Reorder the terms: 8 = 4(-8 + q) + 4 8 = (-8 * 4 + q * 4) + 4 8 = (-32 + 4q) + 4 Reorder the terms: 8 = -32 + 4 + 4q Combine like terms: -32 + 4 = -28 8 = -28 + 4q Solving 8 = -28 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 8 + -4q = -28 + 4q + -4q Combine like terms: 4q + -4q = 0 8 + -4q = -28 + 0 8 + -4q = -28 Add '-8' to each side of the equation. 8 + -8 + -4q = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -4q = -28 + -8 -4q = -28 + -8 Combine like terms: -28 + -8 = -36 -4q = -36 Divide each side by '-4'. q = 9 Simplifying q = 9
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