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Simplifying 4(a + -8) + 5(-5a + -7) = -25 Reorder the terms: 4(-8 + a) + 5(-5a + -7) = -25 (-8 * 4 + a * 4) + 5(-5a + -7) = -25 (-32 + 4a) + 5(-5a + -7) = -25 Reorder the terms: -32 + 4a + 5(-7 + -5a) = -25 -32 + 4a + (-7 * 5 + -5a * 5) = -25 -32 + 4a + (-35 + -25a) = -25 Reorder the terms: -32 + -35 + 4a + -25a = -25 Combine like terms: -32 + -35 = -67 -67 + 4a + -25a = -25 Combine like terms: 4a + -25a = -21a -67 + -21a = -25 Solving -67 + -21a = -25 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + -21a = -25 + 67 Combine like terms: -67 + 67 = 0 0 + -21a = -25 + 67 -21a = -25 + 67 Combine like terms: -25 + 67 = 42 -21a = 42 Divide each side by '-21'. a = -2 Simplifying a = -2
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