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Simplifying -7(a + -6) = 2 + -2a Reorder the terms: -7(-6 + a) = 2 + -2a (-6 * -7 + a * -7) = 2 + -2a (42 + -7a) = 2 + -2a Solving 42 + -7a = 2 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 42 + -7a + 2a = 2 + -2a + 2a Combine like terms: -7a + 2a = -5a 42 + -5a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 42 + -5a = 2 + 0 42 + -5a = 2 Add '-42' to each side of the equation. 42 + -42 + -5a = 2 + -42 Combine like terms: 42 + -42 = 0 0 + -5a = 2 + -42 -5a = 2 + -42 Combine like terms: 2 + -42 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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