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Simplifying 5 + -4(a + 2) = 7 + a Reorder the terms: 5 + -4(2 + a) = 7 + a 5 + (2 * -4 + a * -4) = 7 + a 5 + (-8 + -4a) = 7 + a Combine like terms: 5 + -8 = -3 -3 + -4a = 7 + a Solving -3 + -4a = 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. -3 + -4a + -1a = 7 + a + -1a Combine like terms: -4a + -1a = -5a -3 + -5a = 7 + a + -1a Combine like terms: a + -1a = 0 -3 + -5a = 7 + 0 -3 + -5a = 7 Add '3' to each side of the equation. -3 + 3 + -5a = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5a = 7 + 3 -5a = 7 + 3 Combine like terms: 7 + 3 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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