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Simplifying 8a + 5 = 5(3a + -2) + 1 Reorder the terms: 5 + 8a = 5(3a + -2) + 1 Reorder the terms: 5 + 8a = 5(-2 + 3a) + 1 5 + 8a = (-2 * 5 + 3a * 5) + 1 5 + 8a = (-10 + 15a) + 1 Reorder the terms: 5 + 8a = -10 + 1 + 15a Combine like terms: -10 + 1 = -9 5 + 8a = -9 + 15a Solving 5 + 8a = -9 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 5 + 8a + -15a = -9 + 15a + -15a Combine like terms: 8a + -15a = -7a 5 + -7a = -9 + 15a + -15a Combine like terms: 15a + -15a = 0 5 + -7a = -9 + 0 5 + -7a = -9 Add '-5' to each side of the equation. 5 + -5 + -7a = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = -9 + -5 -7a = -9 + -5 Combine like terms: -9 + -5 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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