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Simplifying 4 + -4(a + 2) = 3(a + 1) + -1 Reorder the terms: 4 + -4(2 + a) = 3(a + 1) + -1 4 + (2 * -4 + a * -4) = 3(a + 1) + -1 4 + (-8 + -4a) = 3(a + 1) + -1 Combine like terms: 4 + -8 = -4 -4 + -4a = 3(a + 1) + -1 Reorder the terms: -4 + -4a = 3(1 + a) + -1 -4 + -4a = (1 * 3 + a * 3) + -1 -4 + -4a = (3 + 3a) + -1 Reorder the terms: -4 + -4a = 3 + -1 + 3a Combine like terms: 3 + -1 = 2 -4 + -4a = 2 + 3a Solving -4 + -4a = 2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -4 + -4a + -3a = 2 + 3a + -3a Combine like terms: -4a + -3a = -7a -4 + -7a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + -7a = 2 + 0 -4 + -7a = 2 Add '4' to each side of the equation. -4 + 4 + -7a = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -7a = 2 + 4 -7a = 2 + 4 Combine like terms: 2 + 4 = 6 -7a = 6 Divide each side by '-7'. a = -0.8571428571 Simplifying a = -0.8571428571
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