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Simplifying (3a + -3) * 3 = 7a + 1 Reorder the terms: (-3 + 3a) * 3 = 7a + 1 Reorder the terms for easier multiplication: 3(-3 + 3a) = 7a + 1 (-3 * 3 + 3a * 3) = 7a + 1 (-9 + 9a) = 7a + 1 Reorder the terms: -9 + 9a = 1 + 7a Solving -9 + 9a = 1 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -9 + 9a + -7a = 1 + 7a + -7a Combine like terms: 9a + -7a = 2a -9 + 2a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 -9 + 2a = 1 + 0 -9 + 2a = 1 Add '9' to each side of the equation. -9 + 9 + 2a = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2a = 1 + 9 2a = 1 + 9 Combine like terms: 1 + 9 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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