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Simplifying 4(a + -2) = a + -1(4a + -8) Reorder the terms: 4(-2 + a) = a + -1(4a + -8) (-2 * 4 + a * 4) = a + -1(4a + -8) (-8 + 4a) = a + -1(4a + -8) Reorder the terms: -8 + 4a = a + -1(-8 + 4a) -8 + 4a = a + (-8 * -1 + 4a * -1) -8 + 4a = a + (8 + -4a) Reorder the terms: -8 + 4a = 8 + a + -4a Combine like terms: a + -4a = -3a -8 + 4a = 8 + -3a Solving -8 + 4a = 8 + -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. -8 + 4a + 3a = 8 + -3a + 3a Combine like terms: 4a + 3a = 7a -8 + 7a = 8 + -3a + 3a Combine like terms: -3a + 3a = 0 -8 + 7a = 8 + 0 -8 + 7a = 8 Add '8' to each side of the equation. -8 + 8 + 7a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 7a = 8 + 8 7a = 8 + 8 Combine like terms: 8 + 8 = 16 7a = 16 Divide each side by '7'. a = 2.285714286 Simplifying a = 2.285714286
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