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Simplifying r + 15 = 3r + 7 Reorder the terms: 15 + r = 3r + 7 Reorder the terms: 15 + r = 7 + 3r Solving 15 + r = 7 + 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 + r + -3r = 7 + 3r + -3r Combine like terms: r + -3r = -2r 15 + -2r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 15 + -2r = 7 + 0 15 + -2r = 7 Add '-15' to each side of the equation. 15 + -15 + -2r = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2r = 7 + -15 -2r = 7 + -15 Combine like terms: 7 + -15 = -8 -2r = -8 Divide each side by '-2'. r = 4 Simplifying r = 4
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