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Simplifying -17(94r + 37) + 57r = -82(20r + -37) Reorder the terms: -17(37 + 94r) + 57r = -82(20r + -37) (37 * -17 + 94r * -17) + 57r = -82(20r + -37) (-629 + -1598r) + 57r = -82(20r + -37) Combine like terms: -1598r + 57r = -1541r -629 + -1541r = -82(20r + -37) Reorder the terms: -629 + -1541r = -82(-37 + 20r) -629 + -1541r = (-37 * -82 + 20r * -82) -629 + -1541r = (3034 + -1640r) Solving -629 + -1541r = 3034 + -1640r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1640r' to each side of the equation. -629 + -1541r + 1640r = 3034 + -1640r + 1640r Combine like terms: -1541r + 1640r = 99r -629 + 99r = 3034 + -1640r + 1640r Combine like terms: -1640r + 1640r = 0 -629 + 99r = 3034 + 0 -629 + 99r = 3034 Add '629' to each side of the equation. -629 + 629 + 99r = 3034 + 629 Combine like terms: -629 + 629 = 0 0 + 99r = 3034 + 629 99r = 3034 + 629 Combine like terms: 3034 + 629 = 3663 99r = 3663 Divide each side by '99'. r = 37 Simplifying r = 37
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