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Simplifying 7a + 5 = 3(a + -3) Reorder the terms: 5 + 7a = 3(a + -3) Reorder the terms: 5 + 7a = 3(-3 + a) 5 + 7a = (-3 * 3 + a * 3) 5 + 7a = (-9 + 3a) Solving 5 + 7a = -9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5 + 7a + -3a = -9 + 3a + -3a Combine like terms: 7a + -3a = 4a 5 + 4a = -9 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 4a = -9 + 0 5 + 4a = -9 Add '-5' to each side of the equation. 5 + -5 + 4a = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = -9 + -5 4a = -9 + -5 Combine like terms: -9 + -5 = -14 4a = -14 Divide each side by '4'. a = -3.5 Simplifying a = -3.5
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