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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 10 + 30a = (-7 * 3 + 10a * 3) + 31 10 + 30a = (-21 + 30a) + 31 Reorder the terms: 10 + 30a = -21 + 31 + 30a Combine like terms: -21 + 31 = 10 10 + 30a = 10 + 30a Add '-10' to each side of the equation. 10 + -10 + 30a = 10 + -10 + 30a Combine like terms: 10 + -10 = 0 0 + 30a = 10 + -10 + 30a 30a = 10 + -10 + 30a Combine like terms: 10 + -10 = 0 30a = 0 + 30a 30a = 30a Add '-30a' to each side of the equation. 30a + -30a = 30a + -30a Combine like terms: 30a + -30a = 0 0 = 30a + -30a Combine like terms: 30a + -30a = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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