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Simplifying -8(a + -7) = 4a + -4 Reorder the terms: -8(-7 + a) = 4a + -4 (-7 * -8 + a * -8) = 4a + -4 (56 + -8a) = 4a + -4 Reorder the terms: 56 + -8a = -4 + 4a Solving 56 + -8a = -4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 56 + -8a + -4a = -4 + 4a + -4a Combine like terms: -8a + -4a = -12a 56 + -12a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 56 + -12a = -4 + 0 56 + -12a = -4 Add '-56' to each side of the equation. 56 + -56 + -12a = -4 + -56 Combine like terms: 56 + -56 = 0 0 + -12a = -4 + -56 -12a = -4 + -56 Combine like terms: -4 + -56 = -60 -12a = -60 Divide each side by '-12'. a = 5 Simplifying a = 5
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