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Simplifying 3(q + -10) + 4(q + -19) = 13 Reorder the terms: 3(-10 + q) + 4(q + -19) = 13 (-10 * 3 + q * 3) + 4(q + -19) = 13 (-30 + 3q) + 4(q + -19) = 13 Reorder the terms: -30 + 3q + 4(-19 + q) = 13 -30 + 3q + (-19 * 4 + q * 4) = 13 -30 + 3q + (-76 + 4q) = 13 Reorder the terms: -30 + -76 + 3q + 4q = 13 Combine like terms: -30 + -76 = -106 -106 + 3q + 4q = 13 Combine like terms: 3q + 4q = 7q -106 + 7q = 13 Solving -106 + 7q = 13 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 7q = 13 + 106 Combine like terms: -106 + 106 = 0 0 + 7q = 13 + 106 7q = 13 + 106 Combine like terms: 13 + 106 = 119 7q = 119 Divide each side by '7'. q = 17 Simplifying q = 17
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