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Simplifying -5a + 7 + -4a = -1(a + 7) Reorder the terms: 7 + -5a + -4a = -1(a + 7) Combine like terms: -5a + -4a = -9a 7 + -9a = -1(a + 7) Reorder the terms: 7 + -9a = -1(7 + a) 7 + -9a = (7 * -1 + a * -1) 7 + -9a = (-7 + -1a) Solving 7 + -9a = -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. 7 + -9a + a = -7 + -1a + a Combine like terms: -9a + a = -8a 7 + -8a = -7 + -1a + a Combine like terms: -1a + a = 0 7 + -8a = -7 + 0 7 + -8a = -7 Add '-7' to each side of the equation. 7 + -7 + -8a = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -8a = -7 + -7 -8a = -7 + -7 Combine like terms: -7 + -7 = -14 -8a = -14 Divide each side by '-8'. a = 1.75 Simplifying a = 1.75
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