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Simplifying -5(2a + -3) = 2(4 + -5a) + 7 Reorder the terms: -5(-3 + 2a) = 2(4 + -5a) + 7 (-3 * -5 + 2a * -5) = 2(4 + -5a) + 7 (15 + -10a) = 2(4 + -5a) + 7 15 + -10a = (4 * 2 + -5a * 2) + 7 15 + -10a = (8 + -10a) + 7 Reorder the terms: 15 + -10a = 8 + 7 + -10a Combine like terms: 8 + 7 = 15 15 + -10a = 15 + -10a Add '-15' to each side of the equation. 15 + -15 + -10a = 15 + -15 + -10a Combine like terms: 15 + -15 = 0 0 + -10a = 15 + -15 + -10a -10a = 15 + -15 + -10a Combine like terms: 15 + -15 = 0 -10a = 0 + -10a -10a = -10a Add '10a' to each side of the equation. -10a + 10a = -10a + 10a Combine like terms: -10a + 10a = 0 0 = -10a + 10a Combine like terms: -10a + 10a = 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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