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Simplifying 3q + -16q = 7 + 2(-8 + -3q) Combine like terms: 3q + -16q = -13q -13q = 7 + 2(-8 + -3q) -13q = 7 + (-8 * 2 + -3q * 2) -13q = 7 + (-16 + -6q) Combine like terms: 7 + -16 = -9 -13q = -9 + -6q Solving -13q = -9 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -13q + 6q = -9 + -6q + 6q Combine like terms: -13q + 6q = -7q -7q = -9 + -6q + 6q Combine like terms: -6q + 6q = 0 -7q = -9 + 0 -7q = -9 Divide each side by '-7'. q = 1.285714286 Simplifying q = 1.285714286
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