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Simplifying 7(8 + a) + 2 = 13 + -8a (8 * 7 + a * 7) + 2 = 13 + -8a (56 + 7a) + 2 = 13 + -8a Reorder the terms: 56 + 2 + 7a = 13 + -8a Combine like terms: 56 + 2 = 58 58 + 7a = 13 + -8a Solving 58 + 7a = 13 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 58 + 7a + 8a = 13 + -8a + 8a Combine like terms: 7a + 8a = 15a 58 + 15a = 13 + -8a + 8a Combine like terms: -8a + 8a = 0 58 + 15a = 13 + 0 58 + 15a = 13 Add '-58' to each side of the equation. 58 + -58 + 15a = 13 + -58 Combine like terms: 58 + -58 = 0 0 + 15a = 13 + -58 15a = 13 + -58 Combine like terms: 13 + -58 = -45 15a = -45 Divide each side by '15'. a = -3 Simplifying a = -3
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