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Simplifying 4 + -3(a + -1) + 2a = 4(a + 1) + -82 Reorder the terms: 4 + -3(-1 + a) + 2a = 4(a + 1) + -82 4 + (-1 * -3 + a * -3) + 2a = 4(a + 1) + -82 4 + (3 + -3a) + 2a = 4(a + 1) + -82 Combine like terms: 4 + 3 = 7 7 + -3a + 2a = 4(a + 1) + -82 Combine like terms: -3a + 2a = -1a 7 + -1a = 4(a + 1) + -82 Reorder the terms: 7 + -1a = 4(1 + a) + -82 7 + -1a = (1 * 4 + a * 4) + -82 7 + -1a = (4 + 4a) + -82 Reorder the terms: 7 + -1a = 4 + -82 + 4a Combine like terms: 4 + -82 = -78 7 + -1a = -78 + 4a Solving 7 + -1a = -78 + 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. 7 + -1a + -4a = -78 + 4a + -4a Combine like terms: -1a + -4a = -5a 7 + -5a = -78 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -5a = -78 + 0 7 + -5a = -78 Add '-7' to each side of the equation. 7 + -7 + -5a = -78 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = -78 + -7 -5a = -78 + -7 Combine like terms: -78 + -7 = -85 -5a = -85 Divide each side by '-5'. a = 17 Simplifying a = 17
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