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Simplifying 4(2a + -3) + -1(7a + 4) = 2 Reorder the terms: 4(-3 + 2a) + -1(7a + 4) = 2 (-3 * 4 + 2a * 4) + -1(7a + 4) = 2 (-12 + 8a) + -1(7a + 4) = 2 Reorder the terms: -12 + 8a + -1(4 + 7a) = 2 -12 + 8a + (4 * -1 + 7a * -1) = 2 -12 + 8a + (-4 + -7a) = 2 Reorder the terms: -12 + -4 + 8a + -7a = 2 Combine like terms: -12 + -4 = -16 -16 + 8a + -7a = 2 Combine like terms: 8a + -7a = 1a -16 + 1a = 2 Solving -16 + 1a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1a = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 1a = 2 + 16 1a = 2 + 16 Combine like terms: 2 + 16 = 18 1a = 18 Divide each side by '1'. a = 18 Simplifying a = 18
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