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Simplifying -19r + -10r + -17 = -6(6r + -17) Reorder the terms: -17 + -19r + -10r = -6(6r + -17) Combine like terms: -19r + -10r = -29r -17 + -29r = -6(6r + -17) Reorder the terms: -17 + -29r = -6(-17 + 6r) -17 + -29r = (-17 * -6 + 6r * -6) -17 + -29r = (102 + -36r) Solving -17 + -29r = 102 + -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. -17 + -29r + 36r = 102 + -36r + 36r Combine like terms: -29r + 36r = 7r -17 + 7r = 102 + -36r + 36r Combine like terms: -36r + 36r = 0 -17 + 7r = 102 + 0 -17 + 7r = 102 Add '17' to each side of the equation. -17 + 17 + 7r = 102 + 17 Combine like terms: -17 + 17 = 0 0 + 7r = 102 + 17 7r = 102 + 17 Combine like terms: 102 + 17 = 119 7r = 119 Divide each side by '7'. r = 17 Simplifying r = 17
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