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Simplifying -2(10r + 1) = 2r + 10 Reorder the terms: -2(1 + 10r) = 2r + 10 (1 * -2 + 10r * -2) = 2r + 10 (-2 + -20r) = 2r + 10 Reorder the terms: -2 + -20r = 10 + 2r Solving -2 + -20r = 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. -2 + -20r + -2r = 10 + 2r + -2r Combine like terms: -20r + -2r = -22r -2 + -22r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + -22r = 10 + 0 -2 + -22r = 10 Add '2' to each side of the equation. -2 + 2 + -22r = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -22r = 10 + 2 -22r = 10 + 2 Combine like terms: 10 + 2 = 12 -22r = 12 Divide each side by '-22'. r = -0.5454545455 Simplifying r = -0.5454545455
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