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Simplifying -1(10r + 2) + -10 = -3 + -9r Reorder the terms: -1(2 + 10r) + -10 = -3 + -9r (2 * -1 + 10r * -1) + -10 = -3 + -9r (-2 + -10r) + -10 = -3 + -9r Reorder the terms: -2 + -10 + -10r = -3 + -9r Combine like terms: -2 + -10 = -12 -12 + -10r = -3 + -9r Solving -12 + -10r = -3 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -12 + -10r + 9r = -3 + -9r + 9r Combine like terms: -10r + 9r = -1r -12 + -1r = -3 + -9r + 9r Combine like terms: -9r + 9r = 0 -12 + -1r = -3 + 0 -12 + -1r = -3 Add '12' to each side of the equation. -12 + 12 + -1r = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = -3 + 12 -1r = -3 + 12 Combine like terms: -3 + 12 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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