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Simplifying 7a + -6 = 12a(-2) Reorder the terms: -6 + 7a = 12a(-2) Reorder the terms for easier multiplication: -6 + 7a = 12 * -2a Multiply 12 * -2 -6 + 7a = -24a Solving -6 + 7a = -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -6 + 7a + 24a = -24a + 24a Combine like terms: 7a + 24a = 31a -6 + 31a = -24a + 24a Combine like terms: -24a + 24a = 0 -6 + 31a = 0 Add '6' to each side of the equation. -6 + 6 + 31a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 31a = 0 + 6 31a = 0 + 6 Combine like terms: 0 + 6 = 6 31a = 6 Divide each side by '31'. a = 0.1935483871 Simplifying a = 0.1935483871
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