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Simplifying 5 = -4(a + -3) + -1(1 + 2a) Reorder the terms: 5 = -4(-3 + a) + -1(1 + 2a) 5 = (-3 * -4 + a * -4) + -1(1 + 2a) 5 = (12 + -4a) + -1(1 + 2a) 5 = 12 + -4a + (1 * -1 + 2a * -1) 5 = 12 + -4a + (-1 + -2a) Reorder the terms: 5 = 12 + -1 + -4a + -2a Combine like terms: 12 + -1 = 11 5 = 11 + -4a + -2a Combine like terms: -4a + -2a = -6a 5 = 11 + -6a Solving 5 = 11 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 5 + 6a = 11 + -6a + 6a Combine like terms: -6a + 6a = 0 5 + 6a = 11 + 0 5 + 6a = 11 Add '-5' to each side of the equation. 5 + -5 + 6a = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = 11 + -5 6a = 11 + -5 Combine like terms: 11 + -5 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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