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Simplifying 7(8 + -6a) = -7a + -14 (8 * 7 + -6a * 7) = -7a + -14 (56 + -42a) = -7a + -14 Reorder the terms: 56 + -42a = -14 + -7a Solving 56 + -42a = -14 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 56 + -42a + 7a = -14 + -7a + 7a Combine like terms: -42a + 7a = -35a 56 + -35a = -14 + -7a + 7a Combine like terms: -7a + 7a = 0 56 + -35a = -14 + 0 56 + -35a = -14 Add '-56' to each side of the equation. 56 + -56 + -35a = -14 + -56 Combine like terms: 56 + -56 = 0 0 + -35a = -14 + -56 -35a = -14 + -56 Combine like terms: -14 + -56 = -70 -35a = -70 Divide each side by '-35'. a = 2 Simplifying a = 2
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