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Simplifying 3(4a + -1) = 4(6a + 1) + -7 Reorder the terms: 3(-1 + 4a) = 4(6a + 1) + -7 (-1 * 3 + 4a * 3) = 4(6a + 1) + -7 (-3 + 12a) = 4(6a + 1) + -7 Reorder the terms: -3 + 12a = 4(1 + 6a) + -7 -3 + 12a = (1 * 4 + 6a * 4) + -7 -3 + 12a = (4 + 24a) + -7 Reorder the terms: -3 + 12a = 4 + -7 + 24a Combine like terms: 4 + -7 = -3 -3 + 12a = -3 + 24a Add '3' to each side of the equation. -3 + 3 + 12a = -3 + 3 + 24a Combine like terms: -3 + 3 = 0 0 + 12a = -3 + 3 + 24a 12a = -3 + 3 + 24a Combine like terms: -3 + 3 = 0 12a = 0 + 24a 12a = 24a Solving 12a = 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. 12a + -24a = 24a + -24a Combine like terms: 12a + -24a = -12a -12a = 24a + -24a Combine like terms: 24a + -24a = 0 -12a = 0 Divide each side by '-12'. a = 0 Simplifying a = 0
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