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Simplifying 5(6a + -6) + 40 = 3(10a + -7) * 31 Reorder the terms: 5(-6 + 6a) + 40 = 3(10a + -7) * 31 (-6 * 5 + 6a * 5) + 40 = 3(10a + -7) * 31 (-30 + 30a) + 40 = 3(10a + -7) * 31 Reorder the terms: -30 + 40 + 30a = 3(10a + -7) * 31 Combine like terms: -30 + 40 = 10 10 + 30a = 3(10a + -7) * 31 Reorder the terms: 10 + 30a = 3(-7 + 10a) * 31 Reorder the terms for easier multiplication: 10 + 30a = 3 * 31(-7 + 10a) Multiply 3 * 31 10 + 30a = 93(-7 + 10a) 10 + 30a = (-7 * 93 + 10a * 93) 10 + 30a = (-651 + 930a) Solving 10 + 30a = -651 + 930a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-930a' to each side of the equation. 10 + 30a + -930a = -651 + 930a + -930a Combine like terms: 30a + -930a = -900a 10 + -900a = -651 + 930a + -930a Combine like terms: 930a + -930a = 0 10 + -900a = -651 + 0 10 + -900a = -651 Add '-10' to each side of the equation. 10 + -10 + -900a = -651 + -10 Combine like terms: 10 + -10 = 0 0 + -900a = -651 + -10 -900a = -651 + -10 Combine like terms: -651 + -10 = -661 -900a = -661 Divide each side by '-900'. a = 0.7344444444 Simplifying a = 0.7344444444
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