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Simplifying 7 + 1(a + 1) + -3a = 5a Reorder the terms: 7 + 1(1 + a) + -3a = 5a 7 + (1 * 1 + a * 1) + -3a = 5a 7 + (1 + 1a) + -3a = 5a Combine like terms: 7 + 1 = 8 8 + 1a + -3a = 5a Combine like terms: 1a + -3a = -2a 8 + -2a = 5a Solving 8 + -2a = 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. 8 + -2a + -5a = 5a + -5a Combine like terms: -2a + -5a = -7a 8 + -7a = 5a + -5a Combine like terms: 5a + -5a = 0 8 + -7a = 0 Add '-8' to each side of the equation. 8 + -8 + -7a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7a = 0 + -8 -7a = 0 + -8 Combine like terms: 0 + -8 = -8 -7a = -8 Divide each side by '-7'. a = 1.142857143 Simplifying a = 1.142857143
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