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Simplifying -105 = -7(1 + -2r) -105 = (1 * -7 + -2r * -7) -105 = (-7 + 14r) Solving -105 = -7 + 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. -105 + -14r = -7 + 14r + -14r Combine like terms: 14r + -14r = 0 -105 + -14r = -7 + 0 -105 + -14r = -7 Add '105' to each side of the equation. -105 + 105 + -14r = -7 + 105 Combine like terms: -105 + 105 = 0 0 + -14r = -7 + 105 -14r = -7 + 105 Combine like terms: -7 + 105 = 98 -14r = 98 Divide each side by '-14'. r = -7 Simplifying r = -7
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