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Simplifying 152 = 10(5 + -11a) + 8 152 = (5 * 10 + -11a * 10) + 8 152 = (50 + -110a) + 8 Reorder the terms: 152 = 50 + 8 + -110a Combine like terms: 50 + 8 = 58 152 = 58 + -110a Solving 152 = 58 + -110a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '110a' to each side of the equation. 152 + 110a = 58 + -110a + 110a Combine like terms: -110a + 110a = 0 152 + 110a = 58 + 0 152 + 110a = 58 Add '-152' to each side of the equation. 152 + -152 + 110a = 58 + -152 Combine like terms: 152 + -152 = 0 0 + 110a = 58 + -152 110a = 58 + -152 Combine like terms: 58 + -152 = -94 110a = -94 Divide each side by '110'. a = -0.8545454545 Simplifying a = -0.8545454545
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