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Simplifying (6r + -14) = (8r + 54) Reorder the terms: (-14 + 6r) = (8r + 54) Remove parenthesis around (-14 + 6r) -14 + 6r = (8r + 54) Reorder the terms: -14 + 6r = (54 + 8r) Remove parenthesis around (54 + 8r) -14 + 6r = 54 + 8r Solving -14 + 6r = 54 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -14 + 6r + -8r = 54 + 8r + -8r Combine like terms: 6r + -8r = -2r -14 + -2r = 54 + 8r + -8r Combine like terms: 8r + -8r = 0 -14 + -2r = 54 + 0 -14 + -2r = 54 Add '14' to each side of the equation. -14 + 14 + -2r = 54 + 14 Combine like terms: -14 + 14 = 0 0 + -2r = 54 + 14 -2r = 54 + 14 Combine like terms: 54 + 14 = 68 -2r = 68 Divide each side by '-2'. r = -34 Simplifying r = -34
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