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Simplifying 3r + -7 = 9r + 41 Reorder the terms: -7 + 3r = 9r + 41 Reorder the terms: -7 + 3r = 41 + 9r Solving -7 + 3r = 41 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -7 + 3r + -9r = 41 + 9r + -9r Combine like terms: 3r + -9r = -6r -7 + -6r = 41 + 9r + -9r Combine like terms: 9r + -9r = 0 -7 + -6r = 41 + 0 -7 + -6r = 41 Add '7' to each side of the equation. -7 + 7 + -6r = 41 + 7 Combine like terms: -7 + 7 = 0 0 + -6r = 41 + 7 -6r = 41 + 7 Combine like terms: 41 + 7 = 48 -6r = 48 Divide each side by '-6'. r = -8 Simplifying r = -8
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