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Simplifying 6a + -1(2a + -5) + 7 = 8a + -2(a + -3) Reorder the terms: 6a + -1(-5 + 2a) + 7 = 8a + -2(a + -3) 6a + (-5 * -1 + 2a * -1) + 7 = 8a + -2(a + -3) 6a + (5 + -2a) + 7 = 8a + -2(a + -3) Reorder the terms: 5 + 7 + 6a + -2a = 8a + -2(a + -3) Combine like terms: 5 + 7 = 12 12 + 6a + -2a = 8a + -2(a + -3) Combine like terms: 6a + -2a = 4a 12 + 4a = 8a + -2(a + -3) Reorder the terms: 12 + 4a = 8a + -2(-3 + a) 12 + 4a = 8a + (-3 * -2 + a * -2) 12 + 4a = 8a + (6 + -2a) Reorder the terms: 12 + 4a = 6 + 8a + -2a Combine like terms: 8a + -2a = 6a 12 + 4a = 6 + 6a Solving 12 + 4a = 6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + 4a + -6a = 6 + 6a + -6a Combine like terms: 4a + -6a = -2a 12 + -2a = 6 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -2a = 6 + 0 12 + -2a = 6 Add '-12' to each side of the equation. 12 + -12 + -2a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 6 + -12 -2a = 6 + -12 Combine like terms: 6 + -12 = -6 -2a = -6 Divide each side by '-2'. a = 3 Simplifying a = 3
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