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Simplifying 6 + -4r + 1 = r + -5(r + -7) Reorder the terms: 6 + 1 + -4r = r + -5(r + -7) Combine like terms: 6 + 1 = 7 7 + -4r = r + -5(r + -7) Reorder the terms: 7 + -4r = r + -5(-7 + r) 7 + -4r = r + (-7 * -5 + r * -5) 7 + -4r = r + (35 + -5r) Reorder the terms: 7 + -4r = 35 + r + -5r Combine like terms: r + -5r = -4r 7 + -4r = 35 + -4r Add '4r' to each side of the equation. 7 + -4r + 4r = 35 + -4r + 4r Combine like terms: -4r + 4r = 0 7 + 0 = 35 + -4r + 4r 7 = 35 + -4r + 4r Combine like terms: -4r + 4r = 0 7 = 35 + 0 7 = 35 Solving 7 = 35 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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