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