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Simplifying 9r + 45 = 6r Reorder the terms: 45 + 9r = 6r Solving 45 + 9r = 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. 45 + 9r + -6r = 6r + -6r Combine like terms: 9r + -6r = 3r 45 + 3r = 6r + -6r Combine like terms: 6r + -6r = 0 45 + 3r = 0 Add '-45' to each side of the equation. 45 + -45 + 3r = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 3r = 0 + -45 3r = 0 + -45 Combine like terms: 0 + -45 = -45 3r = -45 Divide each side by '3'. r = -15 Simplifying r = -15
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