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Simplifying 3(3a + -3) + -4(5a + 2) = 7a + 1 Reorder the terms: 3(-3 + 3a) + -4(5a + 2) = 7a + 1 (-3 * 3 + 3a * 3) + -4(5a + 2) = 7a + 1 (-9 + 9a) + -4(5a + 2) = 7a + 1 Reorder the terms: -9 + 9a + -4(2 + 5a) = 7a + 1 -9 + 9a + (2 * -4 + 5a * -4) = 7a + 1 -9 + 9a + (-8 + -20a) = 7a + 1 Reorder the terms: -9 + -8 + 9a + -20a = 7a + 1 Combine like terms: -9 + -8 = -17 -17 + 9a + -20a = 7a + 1 Combine like terms: 9a + -20a = -11a -17 + -11a = 7a + 1 Reorder the terms: -17 + -11a = 1 + 7a Solving -17 + -11a = 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. -17 + -11a + -7a = 1 + 7a + -7a Combine like terms: -11a + -7a = -18a -17 + -18a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 -17 + -18a = 1 + 0 -17 + -18a = 1 Add '17' to each side of the equation. -17 + 17 + -18a = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -18a = 1 + 17 -18a = 1 + 17 Combine like terms: 1 + 17 = 18 -18a = 18 Divide each side by '-18'. a = -1 Simplifying a = -1
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