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Simplifying 10q + 12 = 3q + 19 Reorder the terms: 12 + 10q = 3q + 19 Reorder the terms: 12 + 10q = 19 + 3q Solving 12 + 10q = 19 + 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. 12 + 10q + -3q = 19 + 3q + -3q Combine like terms: 10q + -3q = 7q 12 + 7q = 19 + 3q + -3q Combine like terms: 3q + -3q = 0 12 + 7q = 19 + 0 12 + 7q = 19 Add '-12' to each side of the equation. 12 + -12 + 7q = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 7q = 19 + -12 7q = 19 + -12 Combine like terms: 19 + -12 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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