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Simplifying 8[5(q + -4) + 15] + -1[2(5q + -2) + 5] = 0 Reorder the terms: 8[5(-4 + q) + 15] + -1[2(5q + -2) + 5] = 0 8[(-4 * 5 + q * 5) + 15] + -1[2(5q + -2) + 5] = 0 8[(-20 + 5q) + 15] + -1[2(5q + -2) + 5] = 0 Reorder the terms: 8[-20 + 15 + 5q] + -1[2(5q + -2) + 5] = 0 Combine like terms: -20 + 15 = -5 8[-5 + 5q] + -1[2(5q + -2) + 5] = 0 [-5 * 8 + 5q * 8] + -1[2(5q + -2) + 5] = 0 [-40 + 40q] + -1[2(5q + -2) + 5] = 0 Reorder the terms: -40 + 40q + -1[2(-2 + 5q) + 5] = 0 -40 + 40q + -1[(-2 * 2 + 5q * 2) + 5] = 0 -40 + 40q + -1[(-4 + 10q) + 5] = 0 Reorder the terms: -40 + 40q + -1[-4 + 5 + 10q] = 0 Combine like terms: -4 + 5 = 1 -40 + 40q + -1[1 + 10q] = 0 -40 + 40q + [1 * -1 + 10q * -1] = 0 -40 + 40q + [-1 + -10q] = 0 Reorder the terms: -40 + -1 + 40q + -10q = 0 Combine like terms: -40 + -1 = -41 -41 + 40q + -10q = 0 Combine like terms: 40q + -10q = 30q -41 + 30q = 0 Solving -41 + 30q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 30q = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 30q = 0 + 41 30q = 0 + 41 Combine like terms: 0 + 41 = 41 30q = 41 Divide each side by '30'. q = 1.366666667 Simplifying q = 1.366666667
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