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Simplifying -3(a + -4) + 9 = a + 1 Reorder the terms: -3(-4 + a) + 9 = a + 1 (-4 * -3 + a * -3) + 9 = a + 1 (12 + -3a) + 9 = a + 1 Reorder the terms: 12 + 9 + -3a = a + 1 Combine like terms: 12 + 9 = 21 21 + -3a = a + 1 Reorder the terms: 21 + -3a = 1 + a Solving 21 + -3a = 1 + 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. 21 + -3a + -1a = 1 + a + -1a Combine like terms: -3a + -1a = -4a 21 + -4a = 1 + a + -1a Combine like terms: a + -1a = 0 21 + -4a = 1 + 0 21 + -4a = 1 Add '-21' to each side of the equation. 21 + -21 + -4a = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -4a = 1 + -21 -4a = 1 + -21 Combine like terms: 1 + -21 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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