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Simplifying 3(a + -4) = 1 + -1(3 + -1a) Reorder the terms: 3(-4 + a) = 1 + -1(3 + -1a) (-4 * 3 + a * 3) = 1 + -1(3 + -1a) (-12 + 3a) = 1 + -1(3 + -1a) -12 + 3a = 1 + (3 * -1 + -1a * -1) -12 + 3a = 1 + (-3 + 1a) Combine like terms: 1 + -3 = -2 -12 + 3a = -2 + 1a Solving -12 + 3a = -2 + 1a 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. -12 + 3a + -1a = -2 + 1a + -1a Combine like terms: 3a + -1a = 2a -12 + 2a = -2 + 1a + -1a Combine like terms: 1a + -1a = 0 -12 + 2a = -2 + 0 -12 + 2a = -2 Add '12' to each side of the equation. -12 + 12 + 2a = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = -2 + 12 2a = -2 + 12 Combine like terms: -2 + 12 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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