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Simplifying 3q + -26q = 7 + 2(-8q + -3) Combine like terms: 3q + -26q = -23q -23q = 7 + 2(-8q + -3) Reorder the terms: -23q = 7 + 2(-3 + -8q) -23q = 7 + (-3 * 2 + -8q * 2) -23q = 7 + (-6 + -16q) Combine like terms: 7 + -6 = 1 -23q = 1 + -16q Solving -23q = 1 + -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. -23q + 16q = 1 + -16q + 16q Combine like terms: -23q + 16q = -7q -7q = 1 + -16q + 16q Combine like terms: -16q + 16q = 0 -7q = 1 + 0 -7q = 1 Divide each side by '-7'. q = -0.1428571429 Simplifying q = -0.1428571429
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