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Simplifying (a + -3) + 5 = 7[(3a + -1) + -2(4a + -4)] Reorder the terms: (-3 + a) + 5 = 7[(3a + -1) + -2(4a + -4)] Remove parenthesis around (-3 + a) -3 + a + 5 = 7[(3a + -1) + -2(4a + -4)] Reorder the terms: -3 + 5 + a = 7[(3a + -1) + -2(4a + -4)] Combine like terms: -3 + 5 = 2 2 + a = 7[(3a + -1) + -2(4a + -4)] Reorder the terms: 2 + a = 7[(-1 + 3a) + -2(4a + -4)] Remove parenthesis around (-1 + 3a) 2 + a = 7[-1 + 3a + -2(4a + -4)] Reorder the terms: 2 + a = 7[-1 + 3a + -2(-4 + 4a)] 2 + a = 7[-1 + 3a + (-4 * -2 + 4a * -2)] 2 + a = 7[-1 + 3a + (8 + -8a)] Reorder the terms: 2 + a = 7[-1 + 8 + 3a + -8a] Combine like terms: -1 + 8 = 7 2 + a = 7[7 + 3a + -8a] Combine like terms: 3a + -8a = -5a 2 + a = 7[7 + -5a] 2 + a = [7 * 7 + -5a * 7] 2 + a = [49 + -35a] Solving 2 + a = 49 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 2 + a + 35a = 49 + -35a + 35a Combine like terms: a + 35a = 36a 2 + 36a = 49 + -35a + 35a Combine like terms: -35a + 35a = 0 2 + 36a = 49 + 0 2 + 36a = 49 Add '-2' to each side of the equation. 2 + -2 + 36a = 49 + -2 Combine like terms: 2 + -2 = 0 0 + 36a = 49 + -2 36a = 49 + -2 Combine like terms: 49 + -2 = 47 36a = 47 Divide each side by '36'. a = 1.305555556 Simplifying a = 1.305555556
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