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Simplifying -1(10r + 2) = -1(-3 + -9r) + 10r Reorder the terms: -1(2 + 10r) = -1(-3 + -9r) + 10r (2 * -1 + 10r * -1) = -1(-3 + -9r) + 10r (-2 + -10r) = -1(-3 + -9r) + 10r -2 + -10r = (-3 * -1 + -9r * -1) + 10r -2 + -10r = (3 + 9r) + 10r Combine like terms: 9r + 10r = 19r -2 + -10r = 3 + 19r Solving -2 + -10r = 3 + 19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19r' to each side of the equation. -2 + -10r + -19r = 3 + 19r + -19r Combine like terms: -10r + -19r = -29r -2 + -29r = 3 + 19r + -19r Combine like terms: 19r + -19r = 0 -2 + -29r = 3 + 0 -2 + -29r = 3 Add '2' to each side of the equation. -2 + 2 + -29r = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -29r = 3 + 2 -29r = 3 + 2 Combine like terms: 3 + 2 = 5 -29r = 5 Divide each side by '-29'. r = -0.1724137931 Simplifying r = -0.1724137931
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