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Simplifying 4(3a + -7) + 2(a + 3) = 12a + -28 + 2a + 6 Reorder the terms: 4(-7 + 3a) + 2(a + 3) = 12a + -28 + 2a + 6 (-7 * 4 + 3a * 4) + 2(a + 3) = 12a + -28 + 2a + 6 (-28 + 12a) + 2(a + 3) = 12a + -28 + 2a + 6 Reorder the terms: -28 + 12a + 2(3 + a) = 12a + -28 + 2a + 6 -28 + 12a + (3 * 2 + a * 2) = 12a + -28 + 2a + 6 -28 + 12a + (6 + 2a) = 12a + -28 + 2a + 6 Reorder the terms: -28 + 6 + 12a + 2a = 12a + -28 + 2a + 6 Combine like terms: -28 + 6 = -22 -22 + 12a + 2a = 12a + -28 + 2a + 6 Combine like terms: 12a + 2a = 14a -22 + 14a = 12a + -28 + 2a + 6 Reorder the terms: -22 + 14a = -28 + 6 + 12a + 2a Combine like terms: -28 + 6 = -22 -22 + 14a = -22 + 12a + 2a Combine like terms: 12a + 2a = 14a -22 + 14a = -22 + 14a Add '22' to each side of the equation. -22 + 22 + 14a = -22 + 22 + 14a Combine like terms: -22 + 22 = 0 0 + 14a = -22 + 22 + 14a 14a = -22 + 22 + 14a Combine like terms: -22 + 22 = 0 14a = 0 + 14a 14a = 14a Add '-14a' to each side of the equation. 14a + -14a = 14a + -14a Combine like terms: 14a + -14a = 0 0 = 14a + -14a Combine like terms: 14a + -14a = 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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