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Simplifying a + 7 = -1(2a + -5) Reorder the terms: 7 + a = -1(2a + -5) Reorder the terms: 7 + a = -1(-5 + 2a) 7 + a = (-5 * -1 + 2a * -1) 7 + a = (5 + -2a) Solving 7 + a = 5 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 7 + a + 2a = 5 + -2a + 2a Combine like terms: a + 2a = 3a 7 + 3a = 5 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 3a = 5 + 0 7 + 3a = 5 Add '-7' to each side of the equation. 7 + -7 + 3a = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 5 + -7 3a = 5 + -7 Combine like terms: 5 + -7 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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