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Simplifying 6(4a + -2) + -4(4a + 3) = 2(a + 6) + m Reorder the terms: 6(-2 + 4a) + -4(4a + 3) = 2(a + 6) + m (-2 * 6 + 4a * 6) + -4(4a + 3) = 2(a + 6) + m (-12 + 24a) + -4(4a + 3) = 2(a + 6) + m Reorder the terms: -12 + 24a + -4(3 + 4a) = 2(a + 6) + m -12 + 24a + (3 * -4 + 4a * -4) = 2(a + 6) + m -12 + 24a + (-12 + -16a) = 2(a + 6) + m Reorder the terms: -12 + -12 + 24a + -16a = 2(a + 6) + m Combine like terms: -12 + -12 = -24 -24 + 24a + -16a = 2(a + 6) + m Combine like terms: 24a + -16a = 8a -24 + 8a = 2(a + 6) + m Reorder the terms: -24 + 8a = 2(6 + a) + m -24 + 8a = (6 * 2 + a * 2) + m -24 + 8a = (12 + 2a) + m Solving -24 + 8a = 12 + 2a + m Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -24 + 8a + -2a = 12 + 2a + -2a + m Combine like terms: 8a + -2a = 6a -24 + 6a = 12 + 2a + -2a + m Combine like terms: 2a + -2a = 0 -24 + 6a = 12 + 0 + m -24 + 6a = 12 + m Add '24' to each side of the equation. -24 + 24 + 6a = 12 + 24 + m Combine like terms: -24 + 24 = 0 0 + 6a = 12 + 24 + m 6a = 12 + 24 + m Combine like terms: 12 + 24 = 36 6a = 36 + m Divide each side by '6'. a = 6 + 0.1666666667m Simplifying a = 6 + 0.1666666667m
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