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Simplifying 4 + -1(a + 2) = 2a + -6 Reorder the terms: 4 + -1(2 + a) = 2a + -6 4 + (2 * -1 + a * -1) = 2a + -6 4 + (-2 + -1a) = 2a + -6 Combine like terms: 4 + -2 = 2 2 + -1a = 2a + -6 Reorder the terms: 2 + -1a = -6 + 2a Solving 2 + -1a = -6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 2 + -1a + -2a = -6 + 2a + -2a Combine like terms: -1a + -2a = -3a 2 + -3a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 2 + -3a = -6 + 0 2 + -3a = -6 Add '-2' to each side of the equation. 2 + -2 + -3a = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = -6 + -2 -3a = -6 + -2 Combine like terms: -6 + -2 = -8 -3a = -8 Divide each side by '-3'. a = 2.666666667 Simplifying a = 2.666666667
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