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Simplifying 13 = 3(q + 1) + 1 Reorder the terms: 13 = 3(1 + q) + 1 13 = (1 * 3 + q * 3) + 1 13 = (3 + 3q) + 1 Reorder the terms: 13 = 3 + 1 + 3q Combine like terms: 3 + 1 = 4 13 = 4 + 3q Solving 13 = 4 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 13 + -3q = 4 + 3q + -3q Combine like terms: 3q + -3q = 0 13 + -3q = 4 + 0 13 + -3q = 4 Add '-13' to each side of the equation. 13 + -13 + -3q = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -3q = 4 + -13 -3q = 4 + -13 Combine like terms: 4 + -13 = -9 -3q = -9 Divide each side by '-3'. q = 3 Simplifying q = 3
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