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Simplifying -7(3a + -8) = -7(1 + -6a) Reorder the terms: -7(-8 + 3a) = -7(1 + -6a) (-8 * -7 + 3a * -7) = -7(1 + -6a) (56 + -21a) = -7(1 + -6a) 56 + -21a = (1 * -7 + -6a * -7) 56 + -21a = (-7 + 42a) Solving 56 + -21a = -7 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 56 + -21a + -42a = -7 + 42a + -42a Combine like terms: -21a + -42a = -63a 56 + -63a = -7 + 42a + -42a Combine like terms: 42a + -42a = 0 56 + -63a = -7 + 0 56 + -63a = -7 Add '-56' to each side of the equation. 56 + -56 + -63a = -7 + -56 Combine like terms: 56 + -56 = 0 0 + -63a = -7 + -56 -63a = -7 + -56 Combine like terms: -7 + -56 = -63 -63a = -63 Divide each side by '-63'. a = 1 Simplifying a = 1
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