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Simplifying 10(1 + -1a) = -8 + -4(a + -9) (1 * 10 + -1a * 10) = -8 + -4(a + -9) (10 + -10a) = -8 + -4(a + -9) Reorder the terms: 10 + -10a = -8 + -4(-9 + a) 10 + -10a = -8 + (-9 * -4 + a * -4) 10 + -10a = -8 + (36 + -4a) Combine like terms: -8 + 36 = 28 10 + -10a = 28 + -4a Solving 10 + -10a = 28 + -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 + -10a + 4a = 28 + -4a + 4a Combine like terms: -10a + 4a = -6a 10 + -6a = 28 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + -6a = 28 + 0 10 + -6a = 28 Add '-10' to each side of the equation. 10 + -10 + -6a = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = 28 + -10 -6a = 28 + -10 Combine like terms: 28 + -10 = 18 -6a = 18 Divide each side by '-6'. a = -3 Simplifying a = -3
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