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Simplifying 5x + 6r + -1 = 8r + 28 + -6r Reorder the terms: -1 + 6r + 5x = 8r + 28 + -6r Reorder the terms: -1 + 6r + 5x = 28 + 8r + -6r Combine like terms: 8r + -6r = 2r -1 + 6r + 5x = 28 + 2r Solving -1 + 6r + 5x = 28 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -1 + 6r + -2r + 5x = 28 + 2r + -2r Combine like terms: 6r + -2r = 4r -1 + 4r + 5x = 28 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + 4r + 5x = 28 + 0 -1 + 4r + 5x = 28 Add '1' to each side of the equation. -1 + 4r + 1 + 5x = 28 + 1 Reorder the terms: -1 + 1 + 4r + 5x = 28 + 1 Combine like terms: -1 + 1 = 0 0 + 4r + 5x = 28 + 1 4r + 5x = 28 + 1 Combine like terms: 28 + 1 = 29 4r + 5x = 29 Add '-5x' to each side of the equation. 4r + 5x + -5x = 29 + -5x Combine like terms: 5x + -5x = 0 4r + 0 = 29 + -5x 4r = 29 + -5x Divide each side by '4'. r = 7.25 + -1.25x Simplifying r = 7.25 + -1.25x
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