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Simplifying 3[2a + -3] = 5[a + 2] Reorder the terms: 3[-3 + 2a] = 5[a + 2] [-3 * 3 + 2a * 3] = 5[a + 2] [-9 + 6a] = 5[a + 2] Reorder the terms: -9 + 6a = 5[2 + a] -9 + 6a = [2 * 5 + a * 5] -9 + 6a = [10 + 5a] Solving -9 + 6a = 10 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -9 + 6a + -5a = 10 + 5a + -5a Combine like terms: 6a + -5a = 1a -9 + 1a = 10 + 5a + -5a Combine like terms: 5a + -5a = 0 -9 + 1a = 10 + 0 -9 + 1a = 10 Add '9' to each side of the equation. -9 + 9 + 1a = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 1a = 10 + 9 1a = 10 + 9 Combine like terms: 10 + 9 = 19 1a = 19 Divide each side by '1'. a = 19 Simplifying a = 19
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