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Simplifying 8 + -1(2a + 7) = a + 40 Reorder the terms: 8 + -1(7 + 2a) = a + 40 8 + (7 * -1 + 2a * -1) = a + 40 8 + (-7 + -2a) = a + 40 Combine like terms: 8 + -7 = 1 1 + -2a = a + 40 Reorder the terms: 1 + -2a = 40 + a Solving 1 + -2a = 40 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 1 + -2a + -1a = 40 + a + -1a Combine like terms: -2a + -1a = -3a 1 + -3a = 40 + a + -1a Combine like terms: a + -1a = 0 1 + -3a = 40 + 0 1 + -3a = 40 Add '-1' to each side of the equation. 1 + -1 + -3a = 40 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = 40 + -1 -3a = 40 + -1 Combine like terms: 40 + -1 = 39 -3a = 39 Divide each side by '-3'. a = -13 Simplifying a = -13
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