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Simplifying -7(5r + 1) + 5r = -6r + 6(-4r + 3) Reorder the terms: -7(1 + 5r) + 5r = -6r + 6(-4r + 3) (1 * -7 + 5r * -7) + 5r = -6r + 6(-4r + 3) (-7 + -35r) + 5r = -6r + 6(-4r + 3) Combine like terms: -35r + 5r = -30r -7 + -30r = -6r + 6(-4r + 3) Reorder the terms: -7 + -30r = -6r + 6(3 + -4r) -7 + -30r = -6r + (3 * 6 + -4r * 6) -7 + -30r = -6r + (18 + -24r) Reorder the terms: -7 + -30r = 18 + -6r + -24r Combine like terms: -6r + -24r = -30r -7 + -30r = 18 + -30r Add '30r' to each side of the equation. -7 + -30r + 30r = 18 + -30r + 30r Combine like terms: -30r + 30r = 0 -7 + 0 = 18 + -30r + 30r -7 = 18 + -30r + 30r Combine like terms: -30r + 30r = 0 -7 = 18 + 0 -7 = 18 Solving -7 = 18 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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