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Simplifying 105 = 7(8 + a) 105 = (8 * 7 + a * 7) 105 = (56 + 7a) Solving 105 = 56 + 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. 105 + -7a = 56 + 7a + -7a Combine like terms: 7a + -7a = 0 105 + -7a = 56 + 0 105 + -7a = 56 Add '-105' to each side of the equation. 105 + -105 + -7a = 56 + -105 Combine like terms: 105 + -105 = 0 0 + -7a = 56 + -105 -7a = 56 + -105 Combine like terms: 56 + -105 = -49 -7a = -49 Divide each side by '-7'. a = 7 Simplifying a = 7
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