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Simplifying -16 + -21q = -1q + 3(-9q + -3) Reorder the terms: -16 + -21q = -1q + 3(-3 + -9q) -16 + -21q = -1q + (-3 * 3 + -9q * 3) -16 + -21q = -1q + (-9 + -27q) Reorder the terms: -16 + -21q = -9 + -1q + -27q Combine like terms: -1q + -27q = -28q -16 + -21q = -9 + -28q Solving -16 + -21q = -9 + -28q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '28q' to each side of the equation. -16 + -21q + 28q = -9 + -28q + 28q Combine like terms: -21q + 28q = 7q -16 + 7q = -9 + -28q + 28q Combine like terms: -28q + 28q = 0 -16 + 7q = -9 + 0 -16 + 7q = -9 Add '16' to each side of the equation. -16 + 16 + 7q = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 7q = -9 + 16 7q = -9 + 16 Combine like terms: -9 + 16 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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