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Simplifying -5(a + -3) + -1 = -2(a + -2) + -5 Reorder the terms: -5(-3 + a) + -1 = -2(a + -2) + -5 (-3 * -5 + a * -5) + -1 = -2(a + -2) + -5 (15 + -5a) + -1 = -2(a + -2) + -5 Reorder the terms: 15 + -1 + -5a = -2(a + -2) + -5 Combine like terms: 15 + -1 = 14 14 + -5a = -2(a + -2) + -5 Reorder the terms: 14 + -5a = -2(-2 + a) + -5 14 + -5a = (-2 * -2 + a * -2) + -5 14 + -5a = (4 + -2a) + -5 Reorder the terms: 14 + -5a = 4 + -5 + -2a Combine like terms: 4 + -5 = -1 14 + -5a = -1 + -2a Solving 14 + -5a = -1 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 14 + -5a + 2a = -1 + -2a + 2a Combine like terms: -5a + 2a = -3a 14 + -3a = -1 + -2a + 2a Combine like terms: -2a + 2a = 0 14 + -3a = -1 + 0 14 + -3a = -1 Add '-14' to each side of the equation. 14 + -14 + -3a = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -3a = -1 + -14 -3a = -1 + -14 Combine like terms: -1 + -14 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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