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