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Simplifying 99 + -1(a + -3) + 4a = 4a + -5(a + 2) + -6 Reorder the terms: 99 + -1(-3 + a) + 4a = 4a + -5(a + 2) + -6 99 + (-3 * -1 + a * -1) + 4a = 4a + -5(a + 2) + -6 99 + (3 + -1a) + 4a = 4a + -5(a + 2) + -6 Combine like terms: 99 + 3 = 102 102 + -1a + 4a = 4a + -5(a + 2) + -6 Combine like terms: -1a + 4a = 3a 102 + 3a = 4a + -5(a + 2) + -6 Reorder the terms: 102 + 3a = 4a + -5(2 + a) + -6 102 + 3a = 4a + (2 * -5 + a * -5) + -6 102 + 3a = 4a + (-10 + -5a) + -6 Reorder the terms: 102 + 3a = -10 + -6 + 4a + -5a Combine like terms: -10 + -6 = -16 102 + 3a = -16 + 4a + -5a Combine like terms: 4a + -5a = -1a 102 + 3a = -16 + -1a Solving 102 + 3a = -16 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 102 + 3a + a = -16 + -1a + a Combine like terms: 3a + a = 4a 102 + 4a = -16 + -1a + a Combine like terms: -1a + a = 0 102 + 4a = -16 + 0 102 + 4a = -16 Add '-102' to each side of the equation. 102 + -102 + 4a = -16 + -102 Combine like terms: 102 + -102 = 0 0 + 4a = -16 + -102 4a = -16 + -102 Combine like terms: -16 + -102 = -118 4a = -118 Divide each side by '4'. a = -29.5 Simplifying a = -29.5
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