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Simplifying a + 4 = 3(a + 1) + 2(a + -1) Reorder the terms: 4 + a = 3(a + 1) + 2(a + -1) Reorder the terms: 4 + a = 3(1 + a) + 2(a + -1) 4 + a = (1 * 3 + a * 3) + 2(a + -1) 4 + a = (3 + 3a) + 2(a + -1) Reorder the terms: 4 + a = 3 + 3a + 2(-1 + a) 4 + a = 3 + 3a + (-1 * 2 + a * 2) 4 + a = 3 + 3a + (-2 + 2a) Reorder the terms: 4 + a = 3 + -2 + 3a + 2a Combine like terms: 3 + -2 = 1 4 + a = 1 + 3a + 2a Combine like terms: 3a + 2a = 5a 4 + a = 1 + 5a Solving 4 + a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4 + a + -5a = 1 + 5a + -5a Combine like terms: a + -5a = -4a 4 + -4a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + -4a = 1 + 0 4 + -4a = 1 Add '-4' to each side of the equation. 4 + -4 + -4a = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = 1 + -4 -4a = 1 + -4 Combine like terms: 1 + -4 = -3 -4a = -3 Divide each side by '-4'. a = 0.75 Simplifying a = 0.75
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