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Simplifying 7[3(q + -5) + 17] + -1[2(4q + -3) + 1] = 0 Reorder the terms: 7[3(-5 + q) + 17] + -1[2(4q + -3) + 1] = 0 7[(-5 * 3 + q * 3) + 17] + -1[2(4q + -3) + 1] = 0 7[(-15 + 3q) + 17] + -1[2(4q + -3) + 1] = 0 Reorder the terms: 7[-15 + 17 + 3q] + -1[2(4q + -3) + 1] = 0 Combine like terms: -15 + 17 = 2 7[2 + 3q] + -1[2(4q + -3) + 1] = 0 [2 * 7 + 3q * 7] + -1[2(4q + -3) + 1] = 0 [14 + 21q] + -1[2(4q + -3) + 1] = 0 Reorder the terms: 14 + 21q + -1[2(-3 + 4q) + 1] = 0 14 + 21q + -1[(-3 * 2 + 4q * 2) + 1] = 0 14 + 21q + -1[(-6 + 8q) + 1] = 0 Reorder the terms: 14 + 21q + -1[-6 + 1 + 8q] = 0 Combine like terms: -6 + 1 = -5 14 + 21q + -1[-5 + 8q] = 0 14 + 21q + [-5 * -1 + 8q * -1] = 0 14 + 21q + [5 + -8q] = 0 Reorder the terms: 14 + 5 + 21q + -8q = 0 Combine like terms: 14 + 5 = 19 19 + 21q + -8q = 0 Combine like terms: 21q + -8q = 13q 19 + 13q = 0 Solving 19 + 13q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 13q = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 13q = 0 + -19 13q = 0 + -19 Combine like terms: 0 + -19 = -19 13q = -19 Divide each side by '13'. q = -1.461538462 Simplifying q = -1.461538462
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