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Simplifying 5 + -5a + -7 = -2(1 + a) + -1(5a + -6) Reorder the terms: 5 + -7 + -5a = -2(1 + a) + -1(5a + -6) Combine like terms: 5 + -7 = -2 -2 + -5a = -2(1 + a) + -1(5a + -6) -2 + -5a = (1 * -2 + a * -2) + -1(5a + -6) -2 + -5a = (-2 + -2a) + -1(5a + -6) Reorder the terms: -2 + -5a = -2 + -2a + -1(-6 + 5a) -2 + -5a = -2 + -2a + (-6 * -1 + 5a * -1) -2 + -5a = -2 + -2a + (6 + -5a) Reorder the terms: -2 + -5a = -2 + 6 + -2a + -5a Combine like terms: -2 + 6 = 4 -2 + -5a = 4 + -2a + -5a Combine like terms: -2a + -5a = -7a -2 + -5a = 4 + -7a Solving -2 + -5a = 4 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -2 + -5a + 7a = 4 + -7a + 7a Combine like terms: -5a + 7a = 2a -2 + 2a = 4 + -7a + 7a Combine like terms: -7a + 7a = 0 -2 + 2a = 4 + 0 -2 + 2a = 4 Add '2' to each side of the equation. -2 + 2 + 2a = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 4 + 2 2a = 4 + 2 Combine like terms: 4 + 2 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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