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Simplifying 8r + -4r + 1 = 8r + 1 + -1r Reorder the terms: 1 + 8r + -4r = 8r + 1 + -1r Combine like terms: 8r + -4r = 4r 1 + 4r = 8r + 1 + -1r Reorder the terms: 1 + 4r = 1 + 8r + -1r Combine like terms: 8r + -1r = 7r 1 + 4r = 1 + 7r Add '-1' to each side of the equation. 1 + -1 + 4r = 1 + -1 + 7r Combine like terms: 1 + -1 = 0 0 + 4r = 1 + -1 + 7r 4r = 1 + -1 + 7r Combine like terms: 1 + -1 = 0 4r = 0 + 7r 4r = 7r Solving 4r = 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 4r + -7r = 7r + -7r Combine like terms: 4r + -7r = -3r -3r = 7r + -7r Combine like terms: 7r + -7r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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