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Simplifying -9(-3r + 10) + -1r = -19r Reorder the terms: -9(10 + -3r) + -1r = -19r (10 * -9 + -3r * -9) + -1r = -19r (-90 + 27r) + -1r = -19r Combine like terms: 27r + -1r = 26r -90 + 26r = -19r Solving -90 + 26r = -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. -90 + 26r + 19r = -19r + 19r Combine like terms: 26r + 19r = 45r -90 + 45r = -19r + 19r Combine like terms: -19r + 19r = 0 -90 + 45r = 0 Add '90' to each side of the equation. -90 + 90 + 45r = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 45r = 0 + 90 45r = 0 + 90 Combine like terms: 0 + 90 = 90 45r = 90 Divide each side by '45'. r = 2 Simplifying r = 2
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