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Simplifying 3(a + 22) = 6(2a + 5) Reorder the terms: 3(22 + a) = 6(2a + 5) (22 * 3 + a * 3) = 6(2a + 5) (66 + 3a) = 6(2a + 5) Reorder the terms: 66 + 3a = 6(5 + 2a) 66 + 3a = (5 * 6 + 2a * 6) 66 + 3a = (30 + 12a) Solving 66 + 3a = 30 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 66 + 3a + -12a = 30 + 12a + -12a Combine like terms: 3a + -12a = -9a 66 + -9a = 30 + 12a + -12a Combine like terms: 12a + -12a = 0 66 + -9a = 30 + 0 66 + -9a = 30 Add '-66' to each side of the equation. 66 + -66 + -9a = 30 + -66 Combine like terms: 66 + -66 = 0 0 + -9a = 30 + -66 -9a = 30 + -66 Combine like terms: 30 + -66 = -36 -9a = -36 Divide each side by '-9'. a = 4 Simplifying a = 4
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