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Simplifying -7 + 8r = 7(-1 + 7r) + -8r -7 + 8r = (-1 * 7 + 7r * 7) + -8r -7 + 8r = (-7 + 49r) + -8r Combine like terms: 49r + -8r = 41r -7 + 8r = -7 + 41r Add '7' to each side of the equation. -7 + 7 + 8r = -7 + 7 + 41r Combine like terms: -7 + 7 = 0 0 + 8r = -7 + 7 + 41r 8r = -7 + 7 + 41r Combine like terms: -7 + 7 = 0 8r = 0 + 41r 8r = 41r Solving 8r = 41r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-41r' to each side of the equation. 8r + -41r = 41r + -41r Combine like terms: 8r + -41r = -33r -33r = 41r + -41r Combine like terms: 41r + -41r = 0 -33r = 0 Divide each side by '-33'. r = 0 Simplifying r = 0
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