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Simplifying 61 = 6(r + 10) + -23 Reorder the terms: 61 = 6(10 + r) + -23 61 = (10 * 6 + r * 6) + -23 61 = (60 + 6r) + -23 Reorder the terms: 61 = 60 + -23 + 6r Combine like terms: 60 + -23 = 37 61 = 37 + 6r Solving 61 = 37 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 61 + -6r = 37 + 6r + -6r Combine like terms: 6r + -6r = 0 61 + -6r = 37 + 0 61 + -6r = 37 Add '-61' to each side of the equation. 61 + -61 + -6r = 37 + -61 Combine like terms: 61 + -61 = 0 0 + -6r = 37 + -61 -6r = 37 + -61 Combine like terms: 37 + -61 = -24 -6r = -24 Divide each side by '-6'. r = 4 Simplifying r = 4
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