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Simplifying 7(r + -2) = -2r + 49 Reorder the terms: 7(-2 + r) = -2r + 49 (-2 * 7 + r * 7) = -2r + 49 (-14 + 7r) = -2r + 49 Reorder the terms: -14 + 7r = 49 + -2r Solving -14 + 7r = 49 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -14 + 7r + 2r = 49 + -2r + 2r Combine like terms: 7r + 2r = 9r -14 + 9r = 49 + -2r + 2r Combine like terms: -2r + 2r = 0 -14 + 9r = 49 + 0 -14 + 9r = 49 Add '14' to each side of the equation. -14 + 14 + 9r = 49 + 14 Combine like terms: -14 + 14 = 0 0 + 9r = 49 + 14 9r = 49 + 14 Combine like terms: 49 + 14 = 63 9r = 63 Divide each side by '9'. r = 7 Simplifying r = 7
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