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Simplifying -5 + -6(1 + -1a) = -5(7 + -6a) -5 + (1 * -6 + -1a * -6) = -5(7 + -6a) -5 + (-6 + 6a) = -5(7 + -6a) Combine like terms: -5 + -6 = -11 -11 + 6a = -5(7 + -6a) -11 + 6a = (7 * -5 + -6a * -5) -11 + 6a = (-35 + 30a) Solving -11 + 6a = -35 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -11 + 6a + -30a = -35 + 30a + -30a Combine like terms: 6a + -30a = -24a -11 + -24a = -35 + 30a + -30a Combine like terms: 30a + -30a = 0 -11 + -24a = -35 + 0 -11 + -24a = -35 Add '11' to each side of the equation. -11 + 11 + -24a = -35 + 11 Combine like terms: -11 + 11 = 0 0 + -24a = -35 + 11 -24a = -35 + 11 Combine like terms: -35 + 11 = -24 -24a = -24 Divide each side by '-24'. a = 1 Simplifying a = 1
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