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Simplifying -9 + 14r = 4r + -3 + -16 Reorder the terms: -9 + 14r = -3 + -16 + 4r Combine like terms: -3 + -16 = -19 -9 + 14r = -19 + 4r Solving -9 + 14r = -19 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -9 + 14r + -4r = -19 + 4r + -4r Combine like terms: 14r + -4r = 10r -9 + 10r = -19 + 4r + -4r Combine like terms: 4r + -4r = 0 -9 + 10r = -19 + 0 -9 + 10r = -19 Add '9' to each side of the equation. -9 + 9 + 10r = -19 + 9 Combine like terms: -9 + 9 = 0 0 + 10r = -19 + 9 10r = -19 + 9 Combine like terms: -19 + 9 = -10 10r = -10 Divide each side by '10'. r = -1 Simplifying r = -1
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