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Simplifying 5(q + -7) + -3(2q + -4) + 25 = 0 Reorder the terms: 5(-7 + q) + -3(2q + -4) + 25 = 0 (-7 * 5 + q * 5) + -3(2q + -4) + 25 = 0 (-35 + 5q) + -3(2q + -4) + 25 = 0 Reorder the terms: -35 + 5q + -3(-4 + 2q) + 25 = 0 -35 + 5q + (-4 * -3 + 2q * -3) + 25 = 0 -35 + 5q + (12 + -6q) + 25 = 0 Reorder the terms: -35 + 12 + 25 + 5q + -6q = 0 Combine like terms: -35 + 12 = -23 -23 + 25 + 5q + -6q = 0 Combine like terms: -23 + 25 = 2 2 + 5q + -6q = 0 Combine like terms: 5q + -6q = -1q 2 + -1q = 0 Solving 2 + -1q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = 0 + -2 -1q = 0 + -2 Combine like terms: 0 + -2 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2
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