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Simplifying 4(a + 3) = 12(a + 1) Reorder the terms: 4(3 + a) = 12(a + 1) (3 * 4 + a * 4) = 12(a + 1) (12 + 4a) = 12(a + 1) Reorder the terms: 12 + 4a = 12(1 + a) 12 + 4a = (1 * 12 + a * 12) 12 + 4a = (12 + 12a) Add '-12' to each side of the equation. 12 + -12 + 4a = 12 + -12 + 12a Combine like terms: 12 + -12 = 0 0 + 4a = 12 + -12 + 12a 4a = 12 + -12 + 12a Combine like terms: 12 + -12 = 0 4a = 0 + 12a 4a = 12a Solving 4a = 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. 4a + -12a = 12a + -12a Combine like terms: 4a + -12a = -8a -8a = 12a + -12a Combine like terms: 12a + -12a = 0 -8a = 0 Divide each side by '-8'. a = 0 Simplifying a = 0
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