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Simplifying 6a + -7(8 + -1a) = 5(a + -3) 6a + (8 * -7 + -1a * -7) = 5(a + -3) 6a + (-56 + 7a) = 5(a + -3) Reorder the terms: -56 + 6a + 7a = 5(a + -3) Combine like terms: 6a + 7a = 13a -56 + 13a = 5(a + -3) Reorder the terms: -56 + 13a = 5(-3 + a) -56 + 13a = (-3 * 5 + a * 5) -56 + 13a = (-15 + 5a) Solving -56 + 13a = -15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -56 + 13a + -5a = -15 + 5a + -5a Combine like terms: 13a + -5a = 8a -56 + 8a = -15 + 5a + -5a Combine like terms: 5a + -5a = 0 -56 + 8a = -15 + 0 -56 + 8a = -15 Add '56' to each side of the equation. -56 + 56 + 8a = -15 + 56 Combine like terms: -56 + 56 = 0 0 + 8a = -15 + 56 8a = -15 + 56 Combine like terms: -15 + 56 = 41 8a = 41 Divide each side by '8'. a = 5.125 Simplifying a = 5.125
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