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Simplifying 3q + -16 = 7 + 2(-8q + -3) Reorder the terms: -16 + 3q = 7 + 2(-8q + -3) Reorder the terms: -16 + 3q = 7 + 2(-3 + -8q) -16 + 3q = 7 + (-3 * 2 + -8q * 2) -16 + 3q = 7 + (-6 + -16q) Combine like terms: 7 + -6 = 1 -16 + 3q = 1 + -16q Solving -16 + 3q = 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. -16 + 3q + 16q = 1 + -16q + 16q Combine like terms: 3q + 16q = 19q -16 + 19q = 1 + -16q + 16q Combine like terms: -16q + 16q = 0 -16 + 19q = 1 + 0 -16 + 19q = 1 Add '16' to each side of the equation. -16 + 16 + 19q = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 19q = 1 + 16 19q = 1 + 16 Combine like terms: 1 + 16 = 17 19q = 17 Divide each side by '19'. q = 0.8947368421 Simplifying q = 0.8947368421
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