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Simplifying -3a + 7 + -1(4a + -5) = -1a + 12 Reorder the terms: -3a + 7 + -1(-5 + 4a) = -1a + 12 -3a + 7 + (-5 * -1 + 4a * -1) = -1a + 12 -3a + 7 + (5 + -4a) = -1a + 12 Reorder the terms: 7 + 5 + -3a + -4a = -1a + 12 Combine like terms: 7 + 5 = 12 12 + -3a + -4a = -1a + 12 Combine like terms: -3a + -4a = -7a 12 + -7a = -1a + 12 Reorder the terms: 12 + -7a = 12 + -1a Add '-12' to each side of the equation. 12 + -12 + -7a = 12 + -12 + -1a Combine like terms: 12 + -12 = 0 0 + -7a = 12 + -12 + -1a -7a = 12 + -12 + -1a Combine like terms: 12 + -12 = 0 -7a = 0 + -1a -7a = -1a Solving -7a = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -7a + a = -1a + a Combine like terms: -7a + a = -6a -6a = -1a + a Combine like terms: -1a + a = 0 -6a = 0 Divide each side by '-6'. a = 0 Simplifying a = 0
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