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Simplifying 3(4a + -3) = 10 + 2(4a + 1) Reorder the terms: 3(-3 + 4a) = 10 + 2(4a + 1) (-3 * 3 + 4a * 3) = 10 + 2(4a + 1) (-9 + 12a) = 10 + 2(4a + 1) Reorder the terms: -9 + 12a = 10 + 2(1 + 4a) -9 + 12a = 10 + (1 * 2 + 4a * 2) -9 + 12a = 10 + (2 + 8a) Combine like terms: 10 + 2 = 12 -9 + 12a = 12 + 8a Solving -9 + 12a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -9 + 12a + -8a = 12 + 8a + -8a Combine like terms: 12a + -8a = 4a -9 + 4a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -9 + 4a = 12 + 0 -9 + 4a = 12 Add '9' to each side of the equation. -9 + 9 + 4a = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 4a = 12 + 9 4a = 12 + 9 Combine like terms: 12 + 9 = 21 4a = 21 Divide each side by '4'. a = 5.25 Simplifying a = 5.25
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