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Simplifying 5a + -1 + -3(a + 7) = 2(a + -6) Reorder the terms: 5a + -1 + -3(7 + a) = 2(a + -6) 5a + -1 + (7 * -3 + a * -3) = 2(a + -6) 5a + -1 + (-21 + -3a) = 2(a + -6) Reorder the terms: -1 + -21 + 5a + -3a = 2(a + -6) Combine like terms: -1 + -21 = -22 -22 + 5a + -3a = 2(a + -6) Combine like terms: 5a + -3a = 2a -22 + 2a = 2(a + -6) Reorder the terms: -22 + 2a = 2(-6 + a) -22 + 2a = (-6 * 2 + a * 2) -22 + 2a = (-12 + 2a) Add '-2a' to each side of the equation. -22 + 2a + -2a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -22 + 0 = -12 + 2a + -2a -22 = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -22 = -12 + 0 -22 = -12 Solving -22 = -12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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