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Simplifying 7(r + -1) = r + 23 Reorder the terms: 7(-1 + r) = r + 23 (-1 * 7 + r * 7) = r + 23 (-7 + 7r) = r + 23 Reorder the terms: -7 + 7r = 23 + r Solving -7 + 7r = 23 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -7 + 7r + -1r = 23 + r + -1r Combine like terms: 7r + -1r = 6r -7 + 6r = 23 + r + -1r Combine like terms: r + -1r = 0 -7 + 6r = 23 + 0 -7 + 6r = 23 Add '7' to each side of the equation. -7 + 7 + 6r = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 6r = 23 + 7 6r = 23 + 7 Combine like terms: 23 + 7 = 30 6r = 30 Divide each side by '6'. r = 5 Simplifying r = 5
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