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Simplifying 6[a + 2] + 3 = 3[10 + -3a] Reorder the terms: 6[2 + a] + 3 = 3[10 + -3a] [2 * 6 + a * 6] + 3 = 3[10 + -3a] [12 + 6a] + 3 = 3[10 + -3a] Reorder the terms: 12 + 3 + 6a = 3[10 + -3a] Combine like terms: 12 + 3 = 15 15 + 6a = 3[10 + -3a] 15 + 6a = [10 * 3 + -3a * 3] 15 + 6a = [30 + -9a] Solving 15 + 6a = 30 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 15 + 6a + 9a = 30 + -9a + 9a Combine like terms: 6a + 9a = 15a 15 + 15a = 30 + -9a + 9a Combine like terms: -9a + 9a = 0 15 + 15a = 30 + 0 15 + 15a = 30 Add '-15' to each side of the equation. 15 + -15 + 15a = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 15a = 30 + -15 15a = 30 + -15 Combine like terms: 30 + -15 = 15 15a = 15 Divide each side by '15'. a = 1 Simplifying a = 1
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