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Simplifying 4a * 3 + -2(3a + -1) * 5 = 1 * 6 Reorder the terms for easier multiplication: 4 * 3a + -2(3a + -1) * 5 = 1 * 6 Multiply 4 * 3 12a + -2(3a + -1) * 5 = 1 * 6 Reorder the terms: 12a + -2(-1 + 3a) * 5 = 1 * 6 Reorder the terms for easier multiplication: 12a + -2 * 5(-1 + 3a) = 1 * 6 Multiply -2 * 5 12a + -10(-1 + 3a) = 1 * 6 12a + (-1 * -10 + 3a * -10) = 1 * 6 12a + (10 + -30a) = 1 * 6 Reorder the terms: 10 + 12a + -30a = 1 * 6 Combine like terms: 12a + -30a = -18a 10 + -18a = 1 * 6 Multiply 1 * 6 10 + -18a = 6 Solving 10 + -18a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -18a = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -18a = 6 + -10 -18a = 6 + -10 Combine like terms: 6 + -10 = -4 -18a = -4 Divide each side by '-18'. a = 0.2222222222 Simplifying a = 0.2222222222
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