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Simplifying 3(2a + 4) = 8(a + -1) Reorder the terms: 3(4 + 2a) = 8(a + -1) (4 * 3 + 2a * 3) = 8(a + -1) (12 + 6a) = 8(a + -1) Reorder the terms: 12 + 6a = 8(-1 + a) 12 + 6a = (-1 * 8 + a * 8) 12 + 6a = (-8 + 8a) Solving 12 + 6a = -8 + 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. 12 + 6a + -8a = -8 + 8a + -8a Combine like terms: 6a + -8a = -2a 12 + -2a = -8 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -2a = -8 + 0 12 + -2a = -8 Add '-12' to each side of the equation. 12 + -12 + -2a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = -8 + -12 -2a = -8 + -12 Combine like terms: -8 + -12 = -20 -2a = -20 Divide each side by '-2'. a = 10 Simplifying a = 10
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