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Simplifying 10 + 7r = 9r + -4 Reorder the terms: 10 + 7r = -4 + 9r Solving 10 + 7r = -4 + 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. 10 + 7r + -9r = -4 + 9r + -9r Combine like terms: 7r + -9r = -2r 10 + -2r = -4 + 9r + -9r Combine like terms: 9r + -9r = 0 10 + -2r = -4 + 0 10 + -2r = -4 Add '-10' to each side of the equation. 10 + -10 + -2r = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = -4 + -10 -2r = -4 + -10 Combine like terms: -4 + -10 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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