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Simplifying -127 = -7(2r + 7) + r Reorder the terms: -127 = -7(7 + 2r) + r -127 = (7 * -7 + 2r * -7) + r -127 = (-49 + -14r) + r Combine like terms: -14r + r = -13r -127 = -49 + -13r Solving -127 = -49 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. -127 + 13r = -49 + -13r + 13r Combine like terms: -13r + 13r = 0 -127 + 13r = -49 + 0 -127 + 13r = -49 Add '127' to each side of the equation. -127 + 127 + 13r = -49 + 127 Combine like terms: -127 + 127 = 0 0 + 13r = -49 + 127 13r = -49 + 127 Combine like terms: -49 + 127 = 78 13r = 78 Divide each side by '13'. r = 6 Simplifying r = 6
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