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Simplifying 1 + -3(c + -4) + 8c = 1 + -42 + 5(c + 7) Reorder the terms: 1 + -3(-4 + c) + 8c = 1 + -42 + 5(c + 7) 1 + (-4 * -3 + c * -3) + 8c = 1 + -42 + 5(c + 7) 1 + (12 + -3c) + 8c = 1 + -42 + 5(c + 7) Combine like terms: 1 + 12 = 13 13 + -3c + 8c = 1 + -42 + 5(c + 7) Combine like terms: -3c + 8c = 5c 13 + 5c = 1 + -42 + 5(c + 7) Reorder the terms: 13 + 5c = 1 + -42 + 5(7 + c) 13 + 5c = 1 + -42 + (7 * 5 + c * 5) 13 + 5c = 1 + -42 + (35 + 5c) Combine like terms: 1 + -42 = -41 13 + 5c = -41 + 35 + 5c Combine like terms: -41 + 35 = -6 13 + 5c = -6 + 5c Add '-5c' to each side of the equation. 13 + 5c + -5c = -6 + 5c + -5c Combine like terms: 5c + -5c = 0 13 + 0 = -6 + 5c + -5c 13 = -6 + 5c + -5c Combine like terms: 5c + -5c = 0 13 = -6 + 0 13 = -6 Solving 13 = -6 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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