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Simplifying 5(7q + -4) + -1[3(5q + -2) + 5] = 0 Reorder the terms: 5(-4 + 7q) + -1[3(5q + -2) + 5] = 0 (-4 * 5 + 7q * 5) + -1[3(5q + -2) + 5] = 0 (-20 + 35q) + -1[3(5q + -2) + 5] = 0 Reorder the terms: -20 + 35q + -1[3(-2 + 5q) + 5] = 0 -20 + 35q + -1[(-2 * 3 + 5q * 3) + 5] = 0 -20 + 35q + -1[(-6 + 15q) + 5] = 0 Reorder the terms: -20 + 35q + -1[-6 + 5 + 15q] = 0 Combine like terms: -6 + 5 = -1 -20 + 35q + -1[-1 + 15q] = 0 -20 + 35q + [-1 * -1 + 15q * -1] = 0 -20 + 35q + [1 + -15q] = 0 Reorder the terms: -20 + 1 + 35q + -15q = 0 Combine like terms: -20 + 1 = -19 -19 + 35q + -15q = 0 Combine like terms: 35q + -15q = 20q -19 + 20q = 0 Solving -19 + 20q = 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 + 20q = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 20q = 0 + 19 20q = 0 + 19 Combine like terms: 0 + 19 = 19 20q = 19 Divide each side by '20'. q = 0.95 Simplifying q = 0.95
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