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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 = -11 -11 + -3c + 8c = 1 + -42 + 5(c + 7) Combine like terms: -3c + 8c = 5c -11 + 5c = 1 + -42 + 5(c + 7) Reorder the terms: -11 + 5c = 1 + -42 + 5(7 + c) -11 + 5c = 1 + -42 + (7 * 5 + c * 5) -11 + 5c = 1 + -42 + (35 + 5c) Combine like terms: 1 + -42 = -41 -11 + 5c = -41 + 35 + 5c Combine like terms: -41 + 35 = -6 -11 + 5c = -6 + 5c Add '-5c' to each side of the equation. -11 + 5c + -5c = -6 + 5c + -5c Combine like terms: 5c + -5c = 0 -11 + 0 = -6 + 5c + -5c -11 = -6 + 5c + -5c Combine like terms: 5c + -5c = 0 -11 = -6 + 0 -11 = -6 Solving -11 = -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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