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Simplifying 10(a + 4) + 2(a + -2) = 12 Reorder the terms: 10(4 + a) + 2(a + -2) = 12 (4 * 10 + a * 10) + 2(a + -2) = 12 (40 + 10a) + 2(a + -2) = 12 Reorder the terms: 40 + 10a + 2(-2 + a) = 12 40 + 10a + (-2 * 2 + a * 2) = 12 40 + 10a + (-4 + 2a) = 12 Reorder the terms: 40 + -4 + 10a + 2a = 12 Combine like terms: 40 + -4 = 36 36 + 10a + 2a = 12 Combine like terms: 10a + 2a = 12a 36 + 12a = 12 Solving 36 + 12a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12a = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 12a = 12 + -36 12a = 12 + -36 Combine like terms: 12 + -36 = -24 12a = -24 Divide each side by '12'. a = -2 Simplifying a = -2
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