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Simplifying 7r + -3 = 10r + 30 Reorder the terms: -3 + 7r = 10r + 30 Reorder the terms: -3 + 7r = 30 + 10r Solving -3 + 7r = 30 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -3 + 7r + -10r = 30 + 10r + -10r Combine like terms: 7r + -10r = -3r -3 + -3r = 30 + 10r + -10r Combine like terms: 10r + -10r = 0 -3 + -3r = 30 + 0 -3 + -3r = 30 Add '3' to each side of the equation. -3 + 3 + -3r = 30 + 3 Combine like terms: -3 + 3 = 0 0 + -3r = 30 + 3 -3r = 30 + 3 Combine like terms: 30 + 3 = 33 -3r = 33 Divide each side by '-3'. r = -11 Simplifying r = -11
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