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Simplifying a + 14 = 8(a + 7) Reorder the terms: 14 + a = 8(a + 7) Reorder the terms: 14 + a = 8(7 + a) 14 + a = (7 * 8 + a * 8) 14 + a = (56 + 8a) Solving 14 + a = 56 + 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. 14 + a + -8a = 56 + 8a + -8a Combine like terms: a + -8a = -7a 14 + -7a = 56 + 8a + -8a Combine like terms: 8a + -8a = 0 14 + -7a = 56 + 0 14 + -7a = 56 Add '-14' to each side of the equation. 14 + -14 + -7a = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -7a = 56 + -14 -7a = 56 + -14 Combine like terms: 56 + -14 = 42 -7a = 42 Divide each side by '-7'. a = -6 Simplifying a = -6
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