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Simplifying (4a + -3) + -1(2a + 7) = 5 + -1a Reorder the terms: (-3 + 4a) + -1(2a + 7) = 5 + -1a Remove parenthesis around (-3 + 4a) -3 + 4a + -1(2a + 7) = 5 + -1a Reorder the terms: -3 + 4a + -1(7 + 2a) = 5 + -1a -3 + 4a + (7 * -1 + 2a * -1) = 5 + -1a -3 + 4a + (-7 + -2a) = 5 + -1a Reorder the terms: -3 + -7 + 4a + -2a = 5 + -1a Combine like terms: -3 + -7 = -10 -10 + 4a + -2a = 5 + -1a Combine like terms: 4a + -2a = 2a -10 + 2a = 5 + -1a Solving -10 + 2a = 5 + -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. -10 + 2a + a = 5 + -1a + a Combine like terms: 2a + a = 3a -10 + 3a = 5 + -1a + a Combine like terms: -1a + a = 0 -10 + 3a = 5 + 0 -10 + 3a = 5 Add '10' to each side of the equation. -10 + 10 + 3a = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3a = 5 + 10 3a = 5 + 10 Combine like terms: 5 + 10 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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