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Simplifying 6r + 15 = -2r + 103 Reorder the terms: 15 + 6r = -2r + 103 Reorder the terms: 15 + 6r = 103 + -2r Solving 15 + 6r = 103 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 15 + 6r + 2r = 103 + -2r + 2r Combine like terms: 6r + 2r = 8r 15 + 8r = 103 + -2r + 2r Combine like terms: -2r + 2r = 0 15 + 8r = 103 + 0 15 + 8r = 103 Add '-15' to each side of the equation. 15 + -15 + 8r = 103 + -15 Combine like terms: 15 + -15 = 0 0 + 8r = 103 + -15 8r = 103 + -15 Combine like terms: 103 + -15 = 88 8r = 88 Divide each side by '8'. r = 11 Simplifying r = 11
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