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Simplifying 2(5 + -1a) = 3(2a + -1) (5 * 2 + -1a * 2) = 3(2a + -1) (10 + -2a) = 3(2a + -1) Reorder the terms: 10 + -2a = 3(-1 + 2a) 10 + -2a = (-1 * 3 + 2a * 3) 10 + -2a = (-3 + 6a) Solving 10 + -2a = -3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 10 + -2a + -6a = -3 + 6a + -6a Combine like terms: -2a + -6a = -8a 10 + -8a = -3 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + -8a = -3 + 0 10 + -8a = -3 Add '-10' to each side of the equation. 10 + -10 + -8a = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -8a = -3 + -10 -8a = -3 + -10 Combine like terms: -3 + -10 = -13 -8a = -13 Divide each side by '-8'. a = 1.625 Simplifying a = 1.625
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