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Simplifying -5(2q + 7) + 3(q + -5) = 0 Reorder the terms: -5(7 + 2q) + 3(q + -5) = 0 (7 * -5 + 2q * -5) + 3(q + -5) = 0 (-35 + -10q) + 3(q + -5) = 0 Reorder the terms: -35 + -10q + 3(-5 + q) = 0 -35 + -10q + (-5 * 3 + q * 3) = 0 -35 + -10q + (-15 + 3q) = 0 Reorder the terms: -35 + -15 + -10q + 3q = 0 Combine like terms: -35 + -15 = -50 -50 + -10q + 3q = 0 Combine like terms: -10q + 3q = -7q -50 + -7q = 0 Solving -50 + -7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -7q = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -7q = 0 + 50 -7q = 0 + 50 Combine like terms: 0 + 50 = 50 -7q = 50 Divide each side by '-7'. q = -7.142857143 Simplifying q = -7.142857143
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