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Simplifying 3(a + -4) + 4(a + 1) = 0 Reorder the terms: 3(-4 + a) + 4(a + 1) = 0 (-4 * 3 + a * 3) + 4(a + 1) = 0 (-12 + 3a) + 4(a + 1) = 0 Reorder the terms: -12 + 3a + 4(1 + a) = 0 -12 + 3a + (1 * 4 + a * 4) = 0 -12 + 3a + (4 + 4a) = 0 Reorder the terms: -12 + 4 + 3a + 4a = 0 Combine like terms: -12 + 4 = -8 -8 + 3a + 4a = 0 Combine like terms: 3a + 4a = 7a -8 + 7a = 0 Solving -8 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 0 + 8 7a = 0 + 8 Combine like terms: 0 + 8 = 8 7a = 8 Divide each side by '7'. a = 1.142857143 Simplifying a = 1.142857143
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