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Simplifying 5(6a + -6) + 40 = (10a + -7) + 31 Reorder the terms: 5(-6 + 6a) + 40 = (10a + -7) + 31 (-6 * 5 + 6a * 5) + 40 = (10a + -7) + 31 (-30 + 30a) + 40 = (10a + -7) + 31 Reorder the terms: -30 + 40 + 30a = (10a + -7) + 31 Combine like terms: -30 + 40 = 10 10 + 30a = (10a + -7) + 31 Reorder the terms: 10 + 30a = (-7 + 10a) + 31 Remove parenthesis around (-7 + 10a) 10 + 30a = -7 + 10a + 31 Reorder the terms: 10 + 30a = -7 + 31 + 10a Combine like terms: -7 + 31 = 24 10 + 30a = 24 + 10a Solving 10 + 30a = 24 + 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. 10 + 30a + -10a = 24 + 10a + -10a Combine like terms: 30a + -10a = 20a 10 + 20a = 24 + 10a + -10a Combine like terms: 10a + -10a = 0 10 + 20a = 24 + 0 10 + 20a = 24 Add '-10' to each side of the equation. 10 + -10 + 20a = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 20a = 24 + -10 20a = 24 + -10 Combine like terms: 24 + -10 = 14 20a = 14 Divide each side by '20'. a = 0.7 Simplifying a = 0.7
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