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Simplifying -4(3a + 5) = 3(6 + -4a) + -38 Reorder the terms: -4(5 + 3a) = 3(6 + -4a) + -38 (5 * -4 + 3a * -4) = 3(6 + -4a) + -38 (-20 + -12a) = 3(6 + -4a) + -38 -20 + -12a = (6 * 3 + -4a * 3) + -38 -20 + -12a = (18 + -12a) + -38 Reorder the terms: -20 + -12a = 18 + -38 + -12a Combine like terms: 18 + -38 = -20 -20 + -12a = -20 + -12a Add '20' to each side of the equation. -20 + 20 + -12a = -20 + 20 + -12a Combine like terms: -20 + 20 = 0 0 + -12a = -20 + 20 + -12a -12a = -20 + 20 + -12a Combine like terms: -20 + 20 = 0 -12a = 0 + -12a -12a = -12a Add '12a' to each side of the equation. -12a + 12a = -12a + 12a Combine like terms: -12a + 12a = 0 0 = -12a + 12a Combine like terms: -12a + 12a = 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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