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Simplifying -8(a + -5) + 3 = 8 + -3a Reorder the terms: -8(-5 + a) + 3 = 8 + -3a (-5 * -8 + a * -8) + 3 = 8 + -3a (40 + -8a) + 3 = 8 + -3a Reorder the terms: 40 + 3 + -8a = 8 + -3a Combine like terms: 40 + 3 = 43 43 + -8a = 8 + -3a Solving 43 + -8a = 8 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 43 + -8a + 3a = 8 + -3a + 3a Combine like terms: -8a + 3a = -5a 43 + -5a = 8 + -3a + 3a Combine like terms: -3a + 3a = 0 43 + -5a = 8 + 0 43 + -5a = 8 Add '-43' to each side of the equation. 43 + -43 + -5a = 8 + -43 Combine like terms: 43 + -43 = 0 0 + -5a = 8 + -43 -5a = 8 + -43 Combine like terms: 8 + -43 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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