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Simplifying -7(a + -8) = 21 + -2a Reorder the terms: -7(-8 + a) = 21 + -2a (-8 * -7 + a * -7) = 21 + -2a (56 + -7a) = 21 + -2a Solving 56 + -7a = 21 + -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. 56 + -7a + 2a = 21 + -2a + 2a Combine like terms: -7a + 2a = -5a 56 + -5a = 21 + -2a + 2a Combine like terms: -2a + 2a = 0 56 + -5a = 21 + 0 56 + -5a = 21 Add '-56' to each side of the equation. 56 + -56 + -5a = 21 + -56 Combine like terms: 56 + -56 = 0 0 + -5a = 21 + -56 -5a = 21 + -56 Combine like terms: 21 + -56 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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