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Simplifying 3(4q + -3) + -1(13 + 2q) = 0 Reorder the terms: 3(-3 + 4q) + -1(13 + 2q) = 0 (-3 * 3 + 4q * 3) + -1(13 + 2q) = 0 (-9 + 12q) + -1(13 + 2q) = 0 -9 + 12q + (13 * -1 + 2q * -1) = 0 -9 + 12q + (-13 + -2q) = 0 Reorder the terms: -9 + -13 + 12q + -2q = 0 Combine like terms: -9 + -13 = -22 -22 + 12q + -2q = 0 Combine like terms: 12q + -2q = 10q -22 + 10q = 0 Solving -22 + 10q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 10q = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 10q = 0 + 22 10q = 0 + 22 Combine like terms: 0 + 22 = 22 10q = 22 Divide each side by '10'. q = 2.2 Simplifying q = 2.2
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