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Simplifying -5 + -7 + 4a = -1(a + -7) Combine like terms: -5 + -7 = -12 -12 + 4a = -1(a + -7) Reorder the terms: -12 + 4a = -1(-7 + a) -12 + 4a = (-7 * -1 + a * -1) -12 + 4a = (7 + -1a) Solving -12 + 4a = 7 + -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. -12 + 4a + a = 7 + -1a + a Combine like terms: 4a + a = 5a -12 + 5a = 7 + -1a + a Combine like terms: -1a + a = 0 -12 + 5a = 7 + 0 -12 + 5a = 7 Add '12' to each side of the equation. -12 + 12 + 5a = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = 7 + 12 5a = 7 + 12 Combine like terms: 7 + 12 = 19 5a = 19 Divide each side by '5'. a = 3.8 Simplifying a = 3.8
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