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Simplifying 1 + -74(a + 2) = 8 + a Reorder the terms: 1 + -74(2 + a) = 8 + a 1 + (2 * -74 + a * -74) = 8 + a 1 + (-148 + -74a) = 8 + a Combine like terms: 1 + -148 = -147 -147 + -74a = 8 + a Solving -147 + -74a = 8 + 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. -147 + -74a + -1a = 8 + a + -1a Combine like terms: -74a + -1a = -75a -147 + -75a = 8 + a + -1a Combine like terms: a + -1a = 0 -147 + -75a = 8 + 0 -147 + -75a = 8 Add '147' to each side of the equation. -147 + 147 + -75a = 8 + 147 Combine like terms: -147 + 147 = 0 0 + -75a = 8 + 147 -75a = 8 + 147 Combine like terms: 8 + 147 = 155 -75a = 155 Divide each side by '-75'. a = -2.066666667 Simplifying a = -2.066666667
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