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