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Simplifying 137 = 2 + -5(8a + 5) Reorder the terms: 137 = 2 + -5(5 + 8a) 137 = 2 + (5 * -5 + 8a * -5) 137 = 2 + (-25 + -40a) Combine like terms: 2 + -25 = -23 137 = -23 + -40a Solving 137 = -23 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 137 + 40a = -23 + -40a + 40a Combine like terms: -40a + 40a = 0 137 + 40a = -23 + 0 137 + 40a = -23 Add '-137' to each side of the equation. 137 + -137 + 40a = -23 + -137 Combine like terms: 137 + -137 = 0 0 + 40a = -23 + -137 40a = -23 + -137 Combine like terms: -23 + -137 = -160 40a = -160 Divide each side by '40'. a = -4 Simplifying a = -4
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