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Simplifying 7 + 4a = 7a + -1(8 + -4a) 7 + 4a = 7a + (8 * -1 + -4a * -1) 7 + 4a = 7a + (-8 + 4a) Reorder the terms: 7 + 4a = -8 + 7a + 4a Combine like terms: 7a + 4a = 11a 7 + 4a = -8 + 11a Solving 7 + 4a = -8 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 7 + 4a + -11a = -8 + 11a + -11a Combine like terms: 4a + -11a = -7a 7 + -7a = -8 + 11a + -11a Combine like terms: 11a + -11a = 0 7 + -7a = -8 + 0 7 + -7a = -8 Add '-7' to each side of the equation. 7 + -7 + -7a = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -7a = -8 + -7 -7a = -8 + -7 Combine like terms: -8 + -7 = -15 -7a = -15 Divide each side by '-7'. a = 2.142857143 Simplifying a = 2.142857143
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