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Simplifying 6(a + 2) = 4(a + -3) Reorder the terms: 6(2 + a) = 4(a + -3) (2 * 6 + a * 6) = 4(a + -3) (12 + 6a) = 4(a + -3) Reorder the terms: 12 + 6a = 4(-3 + a) 12 + 6a = (-3 * 4 + a * 4) 12 + 6a = (-12 + 4a) Solving 12 + 6a = -12 + 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. 12 + 6a + -4a = -12 + 4a + -4a Combine like terms: 6a + -4a = 2a 12 + 2a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + 2a = -12 + 0 12 + 2a = -12 Add '-12' to each side of the equation. 12 + -12 + 2a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -12 + -12 2a = -12 + -12 Combine like terms: -12 + -12 = -24 2a = -24 Divide each side by '2'. a = -12 Simplifying a = -12
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