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Simplifying 14 + -8r + -15 = 7r + 29 + -5r Reorder the terms: 14 + -15 + -8r = 7r + 29 + -5r Combine like terms: 14 + -15 = -1 -1 + -8r = 7r + 29 + -5r Reorder the terms: -1 + -8r = 29 + 7r + -5r Combine like terms: 7r + -5r = 2r -1 + -8r = 29 + 2r Solving -1 + -8r = 29 + 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. -1 + -8r + -2r = 29 + 2r + -2r Combine like terms: -8r + -2r = -10r -1 + -10r = 29 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + -10r = 29 + 0 -1 + -10r = 29 Add '1' to each side of the equation. -1 + 1 + -10r = 29 + 1 Combine like terms: -1 + 1 = 0 0 + -10r = 29 + 1 -10r = 29 + 1 Combine like terms: 29 + 1 = 30 -10r = 30 Divide each side by '-10'. r = -3 Simplifying r = -3
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