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Simplifying -107 = -7(-2r + 1) + -2 Reorder the terms: -107 = -7(1 + -2r) + -2 -107 = (1 * -7 + -2r * -7) + -2 -107 = (-7 + 14r) + -2 Reorder the terms: -107 = -7 + -2 + 14r Combine like terms: -7 + -2 = -9 -107 = -9 + 14r Solving -107 = -9 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -107 + -14r = -9 + 14r + -14r Combine like terms: 14r + -14r = 0 -107 + -14r = -9 + 0 -107 + -14r = -9 Add '107' to each side of the equation. -107 + 107 + -14r = -9 + 107 Combine like terms: -107 + 107 = 0 0 + -14r = -9 + 107 -14r = -9 + 107 Combine like terms: -9 + 107 = 98 -14r = 98 Divide each side by '-14'. r = -7 Simplifying r = -7
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