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Simplifying 86 = 5(8 + 2a) + -4 86 = (8 * 5 + 2a * 5) + -4 86 = (40 + 10a) + -4 Reorder the terms: 86 = 40 + -4 + 10a Combine like terms: 40 + -4 = 36 86 = 36 + 10a Solving 86 = 36 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 86 + -10a = 36 + 10a + -10a Combine like terms: 10a + -10a = 0 86 + -10a = 36 + 0 86 + -10a = 36 Add '-86' to each side of the equation. 86 + -86 + -10a = 36 + -86 Combine like terms: 86 + -86 = 0 0 + -10a = 36 + -86 -10a = 36 + -86 Combine like terms: 36 + -86 = -50 -10a = -50 Divide each side by '-10'. a = 5 Simplifying a = 5
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