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Simplifying 7(r + -2) = r + -23 + 3r Reorder the terms: 7(-2 + r) = r + -23 + 3r (-2 * 7 + r * 7) = r + -23 + 3r (-14 + 7r) = r + -23 + 3r Reorder the terms: -14 + 7r = -23 + r + 3r Combine like terms: r + 3r = 4r -14 + 7r = -23 + 4r Solving -14 + 7r = -23 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -14 + 7r + -4r = -23 + 4r + -4r Combine like terms: 7r + -4r = 3r -14 + 3r = -23 + 4r + -4r Combine like terms: 4r + -4r = 0 -14 + 3r = -23 + 0 -14 + 3r = -23 Add '14' to each side of the equation. -14 + 14 + 3r = -23 + 14 Combine like terms: -14 + 14 = 0 0 + 3r = -23 + 14 3r = -23 + 14 Combine like terms: -23 + 14 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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