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Simplifying -3(4a + 3) + 4(6x + 1) = 43 Reorder the terms: -3(3 + 4a) + 4(6x + 1) = 43 (3 * -3 + 4a * -3) + 4(6x + 1) = 43 (-9 + -12a) + 4(6x + 1) = 43 Reorder the terms: -9 + -12a + 4(1 + 6x) = 43 -9 + -12a + (1 * 4 + 6x * 4) = 43 -9 + -12a + (4 + 24x) = 43 Reorder the terms: -9 + 4 + -12a + 24x = 43 Combine like terms: -9 + 4 = -5 -5 + -12a + 24x = 43 Solving -5 + -12a + 24x = 43 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -12a + 5 + 24x = 43 + 5 Reorder the terms: -5 + 5 + -12a + 24x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + -12a + 24x = 43 + 5 -12a + 24x = 43 + 5 Combine like terms: 43 + 5 = 48 -12a + 24x = 48 Add '-24x' to each side of the equation. -12a + 24x + -24x = 48 + -24x Combine like terms: 24x + -24x = 0 -12a + 0 = 48 + -24x -12a = 48 + -24x Divide each side by '-12'. a = -4 + 2x Simplifying a = -4 + 2x
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