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Simplifying 3a + -1(5a + -3)(7) = -32a + 21 Reorder the terms: 3a + -1(-3 + 5a)(7) = -32a + 21 Reorder the terms for easier multiplication: 3a + -1 * 7(-3 + 5a) = -32a + 21 Multiply -1 * 7 3a + -7(-3 + 5a) = -32a + 21 3a + (-3 * -7 + 5a * -7) = -32a + 21 3a + (21 + -35a) = -32a + 21 Reorder the terms: 21 + 3a + -35a = -32a + 21 Combine like terms: 3a + -35a = -32a 21 + -32a = -32a + 21 Reorder the terms: 21 + -32a = 21 + -32a Add '-21' to each side of the equation. 21 + -21 + -32a = 21 + -21 + -32a Combine like terms: 21 + -21 = 0 0 + -32a = 21 + -21 + -32a -32a = 21 + -21 + -32a Combine like terms: 21 + -21 = 0 -32a = 0 + -32a -32a = -32a Add '32a' to each side of the equation. -32a + 32a = -32a + 32a Combine like terms: -32a + 32a = 0 0 = -32a + 32a Combine like terms: -32a + 32a = 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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