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Simplifying 5(a + -2) + -3 = 3(a + 1) Reorder the terms: 5(-2 + a) + -3 = 3(a + 1) (-2 * 5 + a * 5) + -3 = 3(a + 1) (-10 + 5a) + -3 = 3(a + 1) Reorder the terms: -10 + -3 + 5a = 3(a + 1) Combine like terms: -10 + -3 = -13 -13 + 5a = 3(a + 1) Reorder the terms: -13 + 5a = 3(1 + a) -13 + 5a = (1 * 3 + a * 3) -13 + 5a = (3 + 3a) Solving -13 + 5a = 3 + 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. -13 + 5a + -3a = 3 + 3a + -3a Combine like terms: 5a + -3a = 2a -13 + 2a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 -13 + 2a = 3 + 0 -13 + 2a = 3 Add '13' to each side of the equation. -13 + 13 + 2a = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 2a = 3 + 13 2a = 3 + 13 Combine like terms: 3 + 13 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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