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Simplifying -3(a + -3) + 4 = a + 12 Reorder the terms: -3(-3 + a) + 4 = a + 12 (-3 * -3 + a * -3) + 4 = a + 12 (9 + -3a) + 4 = a + 12 Reorder the terms: 9 + 4 + -3a = a + 12 Combine like terms: 9 + 4 = 13 13 + -3a = a + 12 Reorder the terms: 13 + -3a = 12 + a Solving 13 + -3a = 12 + 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. 13 + -3a + -1a = 12 + a + -1a Combine like terms: -3a + -1a = -4a 13 + -4a = 12 + a + -1a Combine like terms: a + -1a = 0 13 + -4a = 12 + 0 13 + -4a = 12 Add '-13' to each side of the equation. 13 + -13 + -4a = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -4a = 12 + -13 -4a = 12 + -13 Combine like terms: 12 + -13 = -1 -4a = -1 Divide each side by '-4'. a = 0.25 Simplifying a = 0.25
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