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Simplifying 2(10r + -7) + -2(1 + 10r) = r + 2r Reorder the terms: 2(-7 + 10r) + -2(1 + 10r) = r + 2r (-7 * 2 + 10r * 2) + -2(1 + 10r) = r + 2r (-14 + 20r) + -2(1 + 10r) = r + 2r -14 + 20r + (1 * -2 + 10r * -2) = r + 2r -14 + 20r + (-2 + -20r) = r + 2r Reorder the terms: -14 + -2 + 20r + -20r = r + 2r Combine like terms: -14 + -2 = -16 -16 + 20r + -20r = r + 2r Combine like terms: 20r + -20r = 0 -16 + 0 = r + 2r -16 = r + 2r Combine like terms: r + 2r = 3r -16 = 3r Solving -16 = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -16 + -3r = 3r + -3r Combine like terms: 3r + -3r = 0 -16 + -3r = 0 Add '16' to each side of the equation. -16 + 16 + -3r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3r = 0 + 16 -3r = 0 + 16 Combine like terms: 0 + 16 = 16 -3r = 16 Divide each side by '-3'. r = -5.333333333 Simplifying r = -5.333333333
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