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Simplifying 7(2a + 5) + -7 = 6(a + 8) Reorder the terms: 7(5 + 2a) + -7 = 6(a + 8) (5 * 7 + 2a * 7) + -7 = 6(a + 8) (35 + 14a) + -7 = 6(a + 8) Reorder the terms: 35 + -7 + 14a = 6(a + 8) Combine like terms: 35 + -7 = 28 28 + 14a = 6(a + 8) Reorder the terms: 28 + 14a = 6(8 + a) 28 + 14a = (8 * 6 + a * 6) 28 + 14a = (48 + 6a) Solving 28 + 14a = 48 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 28 + 14a + -6a = 48 + 6a + -6a Combine like terms: 14a + -6a = 8a 28 + 8a = 48 + 6a + -6a Combine like terms: 6a + -6a = 0 28 + 8a = 48 + 0 28 + 8a = 48 Add '-28' to each side of the equation. 28 + -28 + 8a = 48 + -28 Combine like terms: 28 + -28 = 0 0 + 8a = 48 + -28 8a = 48 + -28 Combine like terms: 48 + -28 = 20 8a = 20 Divide each side by '8'. a = 2.5 Simplifying a = 2.5
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