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Simplifying 8 + -1(a + -4) = 3a + 13 Reorder the terms: 8 + -1(-4 + a) = 3a + 13 8 + (-4 * -1 + a * -1) = 3a + 13 8 + (4 + -1a) = 3a + 13 Combine like terms: 8 + 4 = 12 12 + -1a = 3a + 13 Reorder the terms: 12 + -1a = 13 + 3a Solving 12 + -1a = 13 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + -1a + -3a = 13 + 3a + -3a Combine like terms: -1a + -3a = -4a 12 + -4a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + -4a = 13 + 0 12 + -4a = 13 Add '-12' to each side of the equation. 12 + -12 + -4a = 13 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = 13 + -12 -4a = 13 + -12 Combine like terms: 13 + -12 = 1 -4a = 1 Divide each side by '-4'. a = -0.25 Simplifying a = -0.25
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