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Simplifying -114 = -2(1 + -7r) -114 = (1 * -2 + -7r * -2) -114 = (-2 + 14r) Solving -114 = -2 + 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. -114 + -14r = -2 + 14r + -14r Combine like terms: 14r + -14r = 0 -114 + -14r = -2 + 0 -114 + -14r = -2 Add '114' to each side of the equation. -114 + 114 + -14r = -2 + 114 Combine like terms: -114 + 114 = 0 0 + -14r = -2 + 114 -14r = -2 + 114 Combine like terms: -2 + 114 = 112 -14r = 112 Divide each side by '-14'. r = -8 Simplifying r = -8
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