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Simplifying 6a + 1 = 2(4a + -12) Reorder the terms: 1 + 6a = 2(4a + -12) Reorder the terms: 1 + 6a = 2(-12 + 4a) 1 + 6a = (-12 * 2 + 4a * 2) 1 + 6a = (-24 + 8a) Solving 1 + 6a = -24 + 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. 1 + 6a + -8a = -24 + 8a + -8a Combine like terms: 6a + -8a = -2a 1 + -2a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 1 + -2a = -24 + 0 1 + -2a = -24 Add '-1' to each side of the equation. 1 + -1 + -2a = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = -24 + -1 -2a = -24 + -1 Combine like terms: -24 + -1 = -25 -2a = -25 Divide each side by '-2'. a = 12.5 Simplifying a = 12.5
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