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Simplifying 13 + -2(a + -8) = 12 + 5a + -28 Reorder the terms: 13 + -2(-8 + a) = 12 + 5a + -28 13 + (-8 * -2 + a * -2) = 12 + 5a + -28 13 + (16 + -2a) = 12 + 5a + -28 Combine like terms: 13 + 16 = 29 29 + -2a = 12 + 5a + -28 Reorder the terms: 29 + -2a = 12 + -28 + 5a Combine like terms: 12 + -28 = -16 29 + -2a = -16 + 5a Solving 29 + -2a = -16 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 29 + -2a + -5a = -16 + 5a + -5a Combine like terms: -2a + -5a = -7a 29 + -7a = -16 + 5a + -5a Combine like terms: 5a + -5a = 0 29 + -7a = -16 + 0 29 + -7a = -16 Add '-29' to each side of the equation. 29 + -29 + -7a = -16 + -29 Combine like terms: 29 + -29 = 0 0 + -7a = -16 + -29 -7a = -16 + -29 Combine like terms: -16 + -29 = -45 -7a = -45 Divide each side by '-7'. a = 6.428571429 Simplifying a = 6.428571429
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