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Simplifying 3(q + 4) + -10q = 2q + 3 Reorder the terms: 3(4 + q) + -10q = 2q + 3 (4 * 3 + q * 3) + -10q = 2q + 3 (12 + 3q) + -10q = 2q + 3 Combine like terms: 3q + -10q = -7q 12 + -7q = 2q + 3 Reorder the terms: 12 + -7q = 3 + 2q Solving 12 + -7q = 3 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 12 + -7q + -2q = 3 + 2q + -2q Combine like terms: -7q + -2q = -9q 12 + -9q = 3 + 2q + -2q Combine like terms: 2q + -2q = 0 12 + -9q = 3 + 0 12 + -9q = 3 Add '-12' to each side of the equation. 12 + -12 + -9q = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -9q = 3 + -12 -9q = 3 + -12 Combine like terms: 3 + -12 = -9 -9q = -9 Divide each side by '-9'. q = 1 Simplifying q = 1
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