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Simplifying 3 + -4(a + 1) = 9 + a Reorder the terms: 3 + -4(1 + a) = 9 + a 3 + (1 * -4 + a * -4) = 9 + a 3 + (-4 + -4a) = 9 + a Combine like terms: 3 + -4 = -1 -1 + -4a = 9 + a Solving -1 + -4a = 9 + 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. -1 + -4a + -1a = 9 + a + -1a Combine like terms: -4a + -1a = -5a -1 + -5a = 9 + a + -1a Combine like terms: a + -1a = 0 -1 + -5a = 9 + 0 -1 + -5a = 9 Add '1' to each side of the equation. -1 + 1 + -5a = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = 9 + 1 -5a = 9 + 1 Combine like terms: 9 + 1 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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