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Simplifying -91 = -5(1 + -2a) + -6 -91 = (1 * -5 + -2a * -5) + -6 -91 = (-5 + 10a) + -6 Reorder the terms: -91 = -5 + -6 + 10a Combine like terms: -5 + -6 = -11 -91 = -11 + 10a Solving -91 = -11 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -91 + -10a = -11 + 10a + -10a Combine like terms: 10a + -10a = 0 -91 + -10a = -11 + 0 -91 + -10a = -11 Add '91' to each side of the equation. -91 + 91 + -10a = -11 + 91 Combine like terms: -91 + 91 = 0 0 + -10a = -11 + 91 -10a = -11 + 91 Combine like terms: -11 + 91 = 80 -10a = 80 Divide each side by '-10'. a = -8 Simplifying a = -8
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