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Simplifying 6(a + -2) = 3a + -7a + -12 Reorder the terms: 6(-2 + a) = 3a + -7a + -12 (-2 * 6 + a * 6) = 3a + -7a + -12 (-12 + 6a) = 3a + -7a + -12 Reorder the terms: -12 + 6a = -12 + 3a + -7a Combine like terms: 3a + -7a = -4a -12 + 6a = -12 + -4a Add '12' to each side of the equation. -12 + 12 + 6a = -12 + 12 + -4a Combine like terms: -12 + 12 = 0 0 + 6a = -12 + 12 + -4a 6a = -12 + 12 + -4a Combine like terms: -12 + 12 = 0 6a = 0 + -4a 6a = -4a Solving 6a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 6a + 4a = -4a + 4a Combine like terms: 6a + 4a = 10a 10a = -4a + 4a Combine like terms: -4a + 4a = 0 10a = 0 Divide each side by '10'. a = 0.0 Simplifying a = 0.0
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