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Simplifying 6(2 + -5a) + -8(-1a + 1) = -7 (2 * 6 + -5a * 6) + -8(-1a + 1) = -7 (12 + -30a) + -8(-1a + 1) = -7 Reorder the terms: 12 + -30a + -8(1 + -1a) = -7 12 + -30a + (1 * -8 + -1a * -8) = -7 12 + -30a + (-8 + 8a) = -7 Reorder the terms: 12 + -8 + -30a + 8a = -7 Combine like terms: 12 + -8 = 4 4 + -30a + 8a = -7 Combine like terms: -30a + 8a = -22a 4 + -22a = -7 Solving 4 + -22a = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -22a = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -22a = -7 + -4 -22a = -7 + -4 Combine like terms: -7 + -4 = -11 -22a = -11 Divide each side by '-22'. a = 0.5 Simplifying a = 0.5
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