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Simplifying 10 + -3r + 5 = 3r + -6 Reorder the terms: 10 + 5 + -3r = 3r + -6 Combine like terms: 10 + 5 = 15 15 + -3r = 3r + -6 Reorder the terms: 15 + -3r = -6 + 3r Solving 15 + -3r = -6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 15 + -3r + -3r = -6 + 3r + -3r Combine like terms: -3r + -3r = -6r 15 + -6r = -6 + 3r + -3r Combine like terms: 3r + -3r = 0 15 + -6r = -6 + 0 15 + -6r = -6 Add '-15' to each side of the equation. 15 + -15 + -6r = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -6r = -6 + -15 -6r = -6 + -15 Combine like terms: -6 + -15 = -21 -6r = -21 Divide each side by '-6'. r = 3.5 Simplifying r = 3.5
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