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Simplifying 5(a + 1) + -2a = 7 + -3(3a + 1) Reorder the terms: 5(1 + a) + -2a = 7 + -3(3a + 1) (1 * 5 + a * 5) + -2a = 7 + -3(3a + 1) (5 + 5a) + -2a = 7 + -3(3a + 1) Combine like terms: 5a + -2a = 3a 5 + 3a = 7 + -3(3a + 1) Reorder the terms: 5 + 3a = 7 + -3(1 + 3a) 5 + 3a = 7 + (1 * -3 + 3a * -3) 5 + 3a = 7 + (-3 + -9a) Combine like terms: 7 + -3 = 4 5 + 3a = 4 + -9a Solving 5 + 3a = 4 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 5 + 3a + 9a = 4 + -9a + 9a Combine like terms: 3a + 9a = 12a 5 + 12a = 4 + -9a + 9a Combine like terms: -9a + 9a = 0 5 + 12a = 4 + 0 5 + 12a = 4 Add '-5' to each side of the equation. 5 + -5 + 12a = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 12a = 4 + -5 12a = 4 + -5 Combine like terms: 4 + -5 = -1 12a = -1 Divide each side by '12'. a = -0.08333333333 Simplifying a = -0.08333333333
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