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Simplifying -5(-3q + 11) + 4(-1 + -5q) = 0 Reorder the terms: -5(11 + -3q) + 4(-1 + -5q) = 0 (11 * -5 + -3q * -5) + 4(-1 + -5q) = 0 (-55 + 15q) + 4(-1 + -5q) = 0 -55 + 15q + (-1 * 4 + -5q * 4) = 0 -55 + 15q + (-4 + -20q) = 0 Reorder the terms: -55 + -4 + 15q + -20q = 0 Combine like terms: -55 + -4 = -59 -59 + 15q + -20q = 0 Combine like terms: 15q + -20q = -5q -59 + -5q = 0 Solving -59 + -5q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -5q = 0 + 59 Combine like terms: -59 + 59 = 0 0 + -5q = 0 + 59 -5q = 0 + 59 Combine like terms: 0 + 59 = 59 -5q = 59 Divide each side by '-5'. q = -11.8 Simplifying q = -11.8
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