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Simplifying 7(1 + -8a) + 7(8a + -3) = 1 + -3a + a + -5 (1 * 7 + -8a * 7) + 7(8a + -3) = 1 + -3a + a + -5 (7 + -56a) + 7(8a + -3) = 1 + -3a + a + -5 Reorder the terms: 7 + -56a + 7(-3 + 8a) = 1 + -3a + a + -5 7 + -56a + (-3 * 7 + 8a * 7) = 1 + -3a + a + -5 7 + -56a + (-21 + 56a) = 1 + -3a + a + -5 Reorder the terms: 7 + -21 + -56a + 56a = 1 + -3a + a + -5 Combine like terms: 7 + -21 = -14 -14 + -56a + 56a = 1 + -3a + a + -5 Combine like terms: -56a + 56a = 0 -14 + 0 = 1 + -3a + a + -5 -14 = 1 + -3a + a + -5 Reorder the terms: -14 = 1 + -5 + -3a + a Combine like terms: 1 + -5 = -4 -14 = -4 + -3a + a Combine like terms: -3a + a = -2a -14 = -4 + -2a Solving -14 = -4 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -14 + 2a = -4 + -2a + 2a Combine like terms: -2a + 2a = 0 -14 + 2a = -4 + 0 -14 + 2a = -4 Add '14' to each side of the equation. -14 + 14 + 2a = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 2a = -4 + 14 2a = -4 + 14 Combine like terms: -4 + 14 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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