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