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Simplifying 2(a + -8) + 7 = 5(a + 2) + 1 Reorder the terms: 2(-8 + a) + 7 = 5(a + 2) + 1 (-8 * 2 + a * 2) + 7 = 5(a + 2) + 1 (-16 + 2a) + 7 = 5(a + 2) + 1 Reorder the terms: -16 + 7 + 2a = 5(a + 2) + 1 Combine like terms: -16 + 7 = -9 -9 + 2a = 5(a + 2) + 1 Reorder the terms: -9 + 2a = 5(2 + a) + 1 -9 + 2a = (2 * 5 + a * 5) + 1 -9 + 2a = (10 + 5a) + 1 Reorder the terms: -9 + 2a = 10 + 1 + 5a Combine like terms: 10 + 1 = 11 -9 + 2a = 11 + 5a Solving -9 + 2a = 11 + 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. -9 + 2a + -5a = 11 + 5a + -5a Combine like terms: 2a + -5a = -3a -9 + -3a = 11 + 5a + -5a Combine like terms: 5a + -5a = 0 -9 + -3a = 11 + 0 -9 + -3a = 11 Add '9' to each side of the equation. -9 + 9 + -3a = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -3a = 11 + 9 -3a = 11 + 9 Combine like terms: 11 + 9 = 20 -3a = 20 Divide each side by '-3'. a = -6.666666667 Simplifying a = -6.666666667
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