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Simplifying 3a + -1(8a + -2) = 7a + -13 Reorder the terms: 3a + -1(-2 + 8a) = 7a + -13 3a + (-2 * -1 + 8a * -1) = 7a + -13 3a + (2 + -8a) = 7a + -13 Reorder the terms: 2 + 3a + -8a = 7a + -13 Combine like terms: 3a + -8a = -5a 2 + -5a = 7a + -13 Reorder the terms: 2 + -5a = -13 + 7a Solving 2 + -5a = -13 + 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. 2 + -5a + -7a = -13 + 7a + -7a Combine like terms: -5a + -7a = -12a 2 + -12a = -13 + 7a + -7a Combine like terms: 7a + -7a = 0 2 + -12a = -13 + 0 2 + -12a = -13 Add '-2' to each side of the equation. 2 + -2 + -12a = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -12a = -13 + -2 -12a = -13 + -2 Combine like terms: -13 + -2 = -15 -12a = -15 Divide each side by '-12'. a = 1.25 Simplifying a = 1.25
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