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Simplifying 105 = -7(2r + 1) Reorder the terms: 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 = -112 14r = -112 Divide each side by '14'. r = -8 Simplifying r = -8
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