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Simplifying 5(a + -1) + -15 = 3(a + -2) + 4 Reorder the terms: 5(-1 + a) + -15 = 3(a + -2) + 4 (-1 * 5 + a * 5) + -15 = 3(a + -2) + 4 (-5 + 5a) + -15 = 3(a + -2) + 4 Reorder the terms: -5 + -15 + 5a = 3(a + -2) + 4 Combine like terms: -5 + -15 = -20 -20 + 5a = 3(a + -2) + 4 Reorder the terms: -20 + 5a = 3(-2 + a) + 4 -20 + 5a = (-2 * 3 + a * 3) + 4 -20 + 5a = (-6 + 3a) + 4 Reorder the terms: -20 + 5a = -6 + 4 + 3a Combine like terms: -6 + 4 = -2 -20 + 5a = -2 + 3a Solving -20 + 5a = -2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -20 + 5a + -3a = -2 + 3a + -3a Combine like terms: 5a + -3a = 2a -20 + 2a = -2 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 2a = -2 + 0 -20 + 2a = -2 Add '20' to each side of the equation. -20 + 20 + 2a = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = -2 + 20 2a = -2 + 20 Combine like terms: -2 + 20 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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