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Simplifying 7 + -5a = a + -1(3a + 5) Reorder the terms: 7 + -5a = a + -1(5 + 3a) 7 + -5a = a + (5 * -1 + 3a * -1) 7 + -5a = a + (-5 + -3a) Reorder the terms: 7 + -5a = -5 + a + -3a Combine like terms: a + -3a = -2a 7 + -5a = -5 + -2a Solving 7 + -5a = -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 + -5a + 2a = -5 + -2a + 2a Combine like terms: -5a + 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 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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