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Simplifying 4a + 3 = 7 + -1(5 + -8a) Reorder the terms: 3 + 4a = 7 + -1(5 + -8a) 3 + 4a = 7 + (5 * -1 + -8a * -1) 3 + 4a = 7 + (-5 + 8a) Combine like terms: 7 + -5 = 2 3 + 4a = 2 + 8a Solving 3 + 4a = 2 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 3 + 4a + -8a = 2 + 8a + -8a Combine like terms: 4a + -8a = -4a 3 + -4a = 2 + 8a + -8a Combine like terms: 8a + -8a = 0 3 + -4a = 2 + 0 3 + -4a = 2 Add '-3' to each side of the equation. 3 + -3 + -4a = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -4a = 2 + -3 -4a = 2 + -3 Combine like terms: 2 + -3 = -1 -4a = -1 Divide each side by '-4'. a = 0.25 Simplifying a = 0.25
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