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Simplifying 7[5(q + -4) + 18] + -1[3(5q + -2) + 5] = 0 Reorder the terms: 7[5(-4 + q) + 18] + -1[3(5q + -2) + 5] = 0 7[(-4 * 5 + q * 5) + 18] + -1[3(5q + -2) + 5] = 0 7[(-20 + 5q) + 18] + -1[3(5q + -2) + 5] = 0 Reorder the terms: 7[-20 + 18 + 5q] + -1[3(5q + -2) + 5] = 0 Combine like terms: -20 + 18 = -2 7[-2 + 5q] + -1[3(5q + -2) + 5] = 0 [-2 * 7 + 5q * 7] + -1[3(5q + -2) + 5] = 0 [-14 + 35q] + -1[3(5q + -2) + 5] = 0 Reorder the terms: -14 + 35q + -1[3(-2 + 5q) + 5] = 0 -14 + 35q + -1[(-2 * 3 + 5q * 3) + 5] = 0 -14 + 35q + -1[(-6 + 15q) + 5] = 0 Reorder the terms: -14 + 35q + -1[-6 + 5 + 15q] = 0 Combine like terms: -6 + 5 = -1 -14 + 35q + -1[-1 + 15q] = 0 -14 + 35q + [-1 * -1 + 15q * -1] = 0 -14 + 35q + [1 + -15q] = 0 Reorder the terms: -14 + 1 + 35q + -15q = 0 Combine like terms: -14 + 1 = -13 -13 + 35q + -15q = 0 Combine like terms: 35q + -15q = 20q -13 + 20q = 0 Solving -13 + 20q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 20q = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 20q = 0 + 13 20q = 0 + 13 Combine like terms: 0 + 13 = 13 20q = 13 Divide each side by '20'. q = 0.65 Simplifying q = 0.65
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