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Simplifying 3[5(9 + -4) + 18] + -1[3(5q + -3) + 1] = 0 Combine like terms: 9 + -4 = 5 3[5(5) + 18] + -1[3(5q + -3) + 1] = 0 Multiply 5 * 5 3[25 + 18] + -1[3(5q + -3) + 1] = 0 Combine like terms: 25 + 18 = 43 3[43] + -1[3(5q + -3) + 1] = 0 Multiply 3 * 43 129 + -1[3(5q + -3) + 1] = 0 Reorder the terms: 129 + -1[3(-3 + 5q) + 1] = 0 129 + -1[(-3 * 3 + 5q * 3) + 1] = 0 129 + -1[(-9 + 15q) + 1] = 0 Reorder the terms: 129 + -1[-9 + 1 + 15q] = 0 Combine like terms: -9 + 1 = -8 129 + -1[-8 + 15q] = 0 129 + [-8 * -1 + 15q * -1] = 0 129 + [8 + -15q] = 0 Combine like terms: 129 + 8 = 137 137 + -15q = 0 Solving 137 + -15q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-137' to each side of the equation. 137 + -137 + -15q = 0 + -137 Combine like terms: 137 + -137 = 0 0 + -15q = 0 + -137 -15q = 0 + -137 Combine like terms: 0 + -137 = -137 -15q = -137 Divide each side by '-15'. q = 9.133333333 Simplifying q = 9.133333333
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