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Simplifying 8r + -48 + -7r + 7 = 2r + 10 Reorder the terms: -48 + 7 + 8r + -7r = 2r + 10 Combine like terms: -48 + 7 = -41 -41 + 8r + -7r = 2r + 10 Combine like terms: 8r + -7r = 1r -41 + 1r = 2r + 10 Reorder the terms: -41 + 1r = 10 + 2r Solving -41 + 1r = 10 + 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. -41 + 1r + -2r = 10 + 2r + -2r Combine like terms: 1r + -2r = -1r -41 + -1r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 -41 + -1r = 10 + 0 -41 + -1r = 10 Add '41' to each side of the equation. -41 + 41 + -1r = 10 + 41 Combine like terms: -41 + 41 = 0 0 + -1r = 10 + 41 -1r = 10 + 41 Combine like terms: 10 + 41 = 51 -1r = 51 Divide each side by '-1'. r = -51 Simplifying r = -51
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