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Simplifying 9(r + -7) = 14 + -2r Reorder the terms: 9(-7 + r) = 14 + -2r (-7 * 9 + r * 9) = 14 + -2r (-63 + 9r) = 14 + -2r Solving -63 + 9r = 14 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -63 + 9r + 2r = 14 + -2r + 2r Combine like terms: 9r + 2r = 11r -63 + 11r = 14 + -2r + 2r Combine like terms: -2r + 2r = 0 -63 + 11r = 14 + 0 -63 + 11r = 14 Add '63' to each side of the equation. -63 + 63 + 11r = 14 + 63 Combine like terms: -63 + 63 = 0 0 + 11r = 14 + 63 11r = 14 + 63 Combine like terms: 14 + 63 = 77 11r = 77 Divide each side by '11'. r = 7 Simplifying r = 7
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