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Simplifying 2(3a + 5) = 2(4a + -1) Reorder the terms: 2(5 + 3a) = 2(4a + -1) (5 * 2 + 3a * 2) = 2(4a + -1) (10 + 6a) = 2(4a + -1) Reorder the terms: 10 + 6a = 2(-1 + 4a) 10 + 6a = (-1 * 2 + 4a * 2) 10 + 6a = (-2 + 8a) Solving 10 + 6a = -2 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 10 + 6a + -8a = -2 + 8a + -8a Combine like terms: 6a + -8a = -2a 10 + -2a = -2 + 8a + -8a Combine like terms: 8a + -8a = 0 10 + -2a = -2 + 0 10 + -2a = -2 Add '-10' to each side of the equation. 10 + -10 + -2a = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = -2 + -10 -2a = -2 + -10 Combine like terms: -2 + -10 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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