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