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Simplifying 10 = 6 + -4(3a + 2) Reorder the terms: 10 = 6 + -4(2 + 3a) 10 = 6 + (2 * -4 + 3a * -4) 10 = 6 + (-8 + -12a) Combine like terms: 6 + -8 = -2 10 = -2 + -12a Solving 10 = -2 + -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. 10 + 12a = -2 + -12a + 12a Combine like terms: -12a + 12a = 0 10 + 12a = -2 + 0 10 + 12a = -2 Add '-10' to each side of the equation. 10 + -10 + 12a = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 12a = -2 + -10 12a = -2 + -10 Combine like terms: -2 + -10 = -12 12a = -12 Divide each side by '12'. a = -1 Simplifying a = -1
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