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Simplifying 3q + -1 = 10q + 13 Reorder the terms: -1 + 3q = 10q + 13 Reorder the terms: -1 + 3q = 13 + 10q Solving -1 + 3q = 13 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -1 + 3q + -10q = 13 + 10q + -10q Combine like terms: 3q + -10q = -7q -1 + -7q = 13 + 10q + -10q Combine like terms: 10q + -10q = 0 -1 + -7q = 13 + 0 -1 + -7q = 13 Add '1' to each side of the equation. -1 + 1 + -7q = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -7q = 13 + 1 -7q = 13 + 1 Combine like terms: 13 + 1 = 14 -7q = 14 Divide each side by '-7'. q = -2 Simplifying q = -2
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