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Simplifying 3(a + -3) + 2(2a + 4) = 10 + -3a Reorder the terms: 3(-3 + a) + 2(2a + 4) = 10 + -3a (-3 * 3 + a * 3) + 2(2a + 4) = 10 + -3a (-9 + 3a) + 2(2a + 4) = 10 + -3a Reorder the terms: -9 + 3a + 2(4 + 2a) = 10 + -3a -9 + 3a + (4 * 2 + 2a * 2) = 10 + -3a -9 + 3a + (8 + 4a) = 10 + -3a Reorder the terms: -9 + 8 + 3a + 4a = 10 + -3a Combine like terms: -9 + 8 = -1 -1 + 3a + 4a = 10 + -3a Combine like terms: 3a + 4a = 7a -1 + 7a = 10 + -3a Solving -1 + 7a = 10 + -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. -1 + 7a + 3a = 10 + -3a + 3a Combine like terms: 7a + 3a = 10a -1 + 10a = 10 + -3a + 3a Combine like terms: -3a + 3a = 0 -1 + 10a = 10 + 0 -1 + 10a = 10 Add '1' to each side of the equation. -1 + 1 + 10a = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 10a = 10 + 1 10a = 10 + 1 Combine like terms: 10 + 1 = 11 10a = 11 Divide each side by '10'. a = 1.1 Simplifying a = 1.1
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