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Simplifying -101 = 5 + -2(7r + 4) Reorder the terms: -101 = 5 + -2(4 + 7r) -101 = 5 + (4 * -2 + 7r * -2) -101 = 5 + (-8 + -14r) Combine like terms: 5 + -8 = -3 -101 = -3 + -14r Solving -101 = -3 + -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. -101 + 14r = -3 + -14r + 14r Combine like terms: -14r + 14r = 0 -101 + 14r = -3 + 0 -101 + 14r = -3 Add '101' to each side of the equation. -101 + 101 + 14r = -3 + 101 Combine like terms: -101 + 101 = 0 0 + 14r = -3 + 101 14r = -3 + 101 Combine like terms: -3 + 101 = 98 14r = 98 Divide each side by '14'. r = 7 Simplifying r = 7
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