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Simplifying 2(5a + -2) + 3(4 + -7a) = -25 Reorder the terms: 2(-2 + 5a) + 3(4 + -7a) = -25 (-2 * 2 + 5a * 2) + 3(4 + -7a) = -25 (-4 + 10a) + 3(4 + -7a) = -25 -4 + 10a + (4 * 3 + -7a * 3) = -25 -4 + 10a + (12 + -21a) = -25 Reorder the terms: -4 + 12 + 10a + -21a = -25 Combine like terms: -4 + 12 = 8 8 + 10a + -21a = -25 Combine like terms: 10a + -21a = -11a 8 + -11a = -25 Solving 8 + -11a = -25 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11a = -25 + -8 Combine like terms: 8 + -8 = 0 0 + -11a = -25 + -8 -11a = -25 + -8 Combine like terms: -25 + -8 = -33 -11a = -33 Divide each side by '-11'. a = 3 Simplifying a = 3
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