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Simplifying 5 + -2(a + 2) + 4 = 7 + a Reorder the terms: 5 + -2(2 + a) + 4 = 7 + a 5 + (2 * -2 + a * -2) + 4 = 7 + a 5 + (-4 + -2a) + 4 = 7 + a Reorder the terms: 5 + -4 + 4 + -2a = 7 + a Combine like terms: 5 + -4 = 1 1 + 4 + -2a = 7 + a Combine like terms: 1 + 4 = 5 5 + -2a = 7 + a Solving 5 + -2a = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 5 + -2a + -1a = 7 + a + -1a Combine like terms: -2a + -1a = -3a 5 + -3a = 7 + a + -1a Combine like terms: a + -1a = 0 5 + -3a = 7 + 0 5 + -3a = 7 Add '-5' to each side of the equation. 5 + -5 + -3a = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 7 + -5 -3a = 7 + -5 Combine like terms: 7 + -5 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667
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