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Simplifying 8(6 + -1q) + -5 = -21 (6 * 8 + -1q * 8) + -5 = -21 (48 + -8q) + -5 = -21 Reorder the terms: 48 + -5 + -8q = -21 Combine like terms: 48 + -5 = 43 43 + -8q = -21 Solving 43 + -8q = -21 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -8q = -21 + -43 Combine like terms: 43 + -43 = 0 0 + -8q = -21 + -43 -8q = -21 + -43 Combine like terms: -21 + -43 = -64 -8q = -64 Divide each side by '-8'. q = 8 Simplifying q = 8
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