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Simplifying -5(2 + 5a) = 32 + -4a (2 * -5 + 5a * -5) = 32 + -4a (-10 + -25a) = 32 + -4a Solving -10 + -25a = 32 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -10 + -25a + 4a = 32 + -4a + 4a Combine like terms: -25a + 4a = -21a -10 + -21a = 32 + -4a + 4a Combine like terms: -4a + 4a = 0 -10 + -21a = 32 + 0 -10 + -21a = 32 Add '10' to each side of the equation. -10 + 10 + -21a = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -21a = 32 + 10 -21a = 32 + 10 Combine like terms: 32 + 10 = 42 -21a = 42 Divide each side by '-21'. a = -2 Simplifying a = -2
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