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Simplifying 3a + -1(a + 8) = 7a + 32 Reorder the terms: 3a + -1(8 + a) = 7a + 32 3a + (8 * -1 + a * -1) = 7a + 32 3a + (-8 + -1a) = 7a + 32 Reorder the terms: -8 + 3a + -1a = 7a + 32 Combine like terms: 3a + -1a = 2a -8 + 2a = 7a + 32 Reorder the terms: -8 + 2a = 32 + 7a Solving -8 + 2a = 32 + 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 = 32 + 7a + -7a Combine like terms: 2a + -7a = -5a -8 + -5a = 32 + 7a + -7a Combine like terms: 7a + -7a = 0 -8 + -5a = 32 + 0 -8 + -5a = 32 Add '8' to each side of the equation. -8 + 8 + -5a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = 32 + 8 -5a = 32 + 8 Combine like terms: 32 + 8 = 40 -5a = 40 Divide each side by '-5'. a = -8 Simplifying a = -8
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