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Simplifying 6r + -1 = 13 + -4 + 2r + 6 Reorder the terms: -1 + 6r = 13 + -4 + 2r + 6 Reorder the terms: -1 + 6r = 13 + -4 + 6 + 2r Combine like terms: 13 + -4 = 9 -1 + 6r = 9 + 6 + 2r Combine like terms: 9 + 6 = 15 -1 + 6r = 15 + 2r Solving -1 + 6r = 15 + 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 = 15 + 2r + -2r Combine like terms: 6r + -2r = 4r -1 + 4r = 15 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + 4r = 15 + 0 -1 + 4r = 15 Add '1' to each side of the equation. -1 + 1 + 4r = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 4r = 15 + 1 4r = 15 + 1 Combine like terms: 15 + 1 = 16 4r = 16 Divide each side by '4'. r = 4 Simplifying r = 4
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