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Simplifying -8(a + -7) + -2 = 102 Reorder the terms: -8(-7 + a) + -2 = 102 (-7 * -8 + a * -8) + -2 = 102 (56 + -8a) + -2 = 102 Reorder the terms: 56 + -2 + -8a = 102 Combine like terms: 56 + -2 = 54 54 + -8a = 102 Solving 54 + -8a = 102 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -8a = 102 + -54 Combine like terms: 54 + -54 = 0 0 + -8a = 102 + -54 -8a = 102 + -54 Combine like terms: 102 + -54 = 48 -8a = 48 Divide each side by '-8'. a = -6 Simplifying a = -6
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