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Simplifying 10 + -8a = 2 + -1(5 + -4a) 10 + -8a = 2 + (5 * -1 + -4a * -1) 10 + -8a = 2 + (-5 + 4a) Combine like terms: 2 + -5 = -3 10 + -8a = -3 + 4a Solving 10 + -8a = -3 + 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 + -8a + -4a = -3 + 4a + -4a Combine like terms: -8a + -4a = -12a 10 + -12a = -3 + 4a + -4a Combine like terms: 4a + -4a = 0 10 + -12a = -3 + 0 10 + -12a = -3 Add '-10' to each side of the equation. 10 + -10 + -12a = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -12a = -3 + -10 -12a = -3 + -10 Combine like terms: -3 + -10 = -13 -12a = -13 Divide each side by '-12'. a = 1.083333333 Simplifying a = 1.083333333
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