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Simplifying 8(a + -7) = 6(1 + 8a) + 6a Reorder the terms: 8(-7 + a) = 6(1 + 8a) + 6a (-7 * 8 + a * 8) = 6(1 + 8a) + 6a (-56 + 8a) = 6(1 + 8a) + 6a -56 + 8a = (1 * 6 + 8a * 6) + 6a -56 + 8a = (6 + 48a) + 6a Combine like terms: 48a + 6a = 54a -56 + 8a = 6 + 54a Solving -56 + 8a = 6 + 54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54a' to each side of the equation. -56 + 8a + -54a = 6 + 54a + -54a Combine like terms: 8a + -54a = -46a -56 + -46a = 6 + 54a + -54a Combine like terms: 54a + -54a = 0 -56 + -46a = 6 + 0 -56 + -46a = 6 Add '56' to each side of the equation. -56 + 56 + -46a = 6 + 56 Combine like terms: -56 + 56 = 0 0 + -46a = 6 + 56 -46a = 6 + 56 Combine like terms: 6 + 56 = 62 -46a = 62 Divide each side by '-46'. a = -1.347826087 Simplifying a = -1.347826087
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