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Simplifying 3(a + 4) = 5(2a + 1) Reorder the terms: 3(4 + a) = 5(2a + 1) (4 * 3 + a * 3) = 5(2a + 1) (12 + 3a) = 5(2a + 1) Reorder the terms: 12 + 3a = 5(1 + 2a) 12 + 3a = (1 * 5 + 2a * 5) 12 + 3a = (5 + 10a) Solving 12 + 3a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 12 + 3a + -10a = 5 + 10a + -10a Combine like terms: 3a + -10a = -7a 12 + -7a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 12 + -7a = 5 + 0 12 + -7a = 5 Add '-12' to each side of the equation. 12 + -12 + -7a = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -7a = 5 + -12 -7a = 5 + -12 Combine like terms: 5 + -12 = -7 -7a = -7 Divide each side by '-7'. a = 1 Simplifying a = 1
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