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Simplifying 10r + -6r + 7 = 7r + 7 + -1r Reorder the terms: 7 + 10r + -6r = 7r + 7 + -1r Combine like terms: 10r + -6r = 4r 7 + 4r = 7r + 7 + -1r Reorder the terms: 7 + 4r = 7 + 7r + -1r Combine like terms: 7r + -1r = 6r 7 + 4r = 7 + 6r Add '-7' to each side of the equation. 7 + -7 + 4r = 7 + -7 + 6r Combine like terms: 7 + -7 = 0 0 + 4r = 7 + -7 + 6r 4r = 7 + -7 + 6r Combine like terms: 7 + -7 = 0 4r = 0 + 6r 4r = 6r Solving 4r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 4r + -6r = 6r + -6r Combine like terms: 4r + -6r = -2r -2r = 6r + -6r Combine like terms: 6r + -6r = 0 -2r = 0 Divide each side by '-2'. r = 0 Simplifying r = 0
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