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Simplifying 8 + -2(7 + -1r) = -1(1 + 3r) + 10r 8 + (7 * -2 + -1r * -2) = -1(1 + 3r) + 10r 8 + (-14 + 2r) = -1(1 + 3r) + 10r Combine like terms: 8 + -14 = -6 -6 + 2r = -1(1 + 3r) + 10r -6 + 2r = (1 * -1 + 3r * -1) + 10r -6 + 2r = (-1 + -3r) + 10r Combine like terms: -3r + 10r = 7r -6 + 2r = -1 + 7r Solving -6 + 2r = -1 + 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. -6 + 2r + -7r = -1 + 7r + -7r Combine like terms: 2r + -7r = -5r -6 + -5r = -1 + 7r + -7r Combine like terms: 7r + -7r = 0 -6 + -5r = -1 + 0 -6 + -5r = -1 Add '6' to each side of the equation. -6 + 6 + -5r = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -5r = -1 + 6 -5r = -1 + 6 Combine like terms: -1 + 6 = 5 -5r = 5 Divide each side by '-5'. r = -1 Simplifying r = -1
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