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Simplifying -7(3 + -1a) = 8(5 + -2a) (3 * -7 + -1a * -7) = 8(5 + -2a) (-21 + 7a) = 8(5 + -2a) -21 + 7a = (5 * 8 + -2a * 8) -21 + 7a = (40 + -16a) Solving -21 + 7a = 40 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -21 + 7a + 16a = 40 + -16a + 16a Combine like terms: 7a + 16a = 23a -21 + 23a = 40 + -16a + 16a Combine like terms: -16a + 16a = 0 -21 + 23a = 40 + 0 -21 + 23a = 40 Add '21' to each side of the equation. -21 + 21 + 23a = 40 + 21 Combine like terms: -21 + 21 = 0 0 + 23a = 40 + 21 23a = 40 + 21 Combine like terms: 40 + 21 = 61 23a = 61 Divide each side by '23'. a = 2.652173913 Simplifying a = 2.652173913
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