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Simplifying v + 9 + 7r = 4(3 + 2r) + -3 Reorder the terms: 9 + 7r + v = 4(3 + 2r) + -3 9 + 7r + v = (3 * 4 + 2r * 4) + -3 9 + 7r + v = (12 + 8r) + -3 Reorder the terms: 9 + 7r + v = 12 + -3 + 8r Combine like terms: 12 + -3 = 9 9 + 7r + v = 9 + 8r Add '-9' to each side of the equation. 9 + 7r + -9 + v = 9 + -9 + 8r Reorder the terms: 9 + -9 + 7r + v = 9 + -9 + 8r Combine like terms: 9 + -9 = 0 0 + 7r + v = 9 + -9 + 8r 7r + v = 9 + -9 + 8r Combine like terms: 9 + -9 = 0 7r + v = 0 + 8r 7r + v = 8r Solving 7r + v = 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 7r + -8r + v = 8r + -8r Combine like terms: 7r + -8r = -1r -1r + v = 8r + -8r Combine like terms: 8r + -8r = 0 -1r + v = 0 Add '-1v' to each side of the equation. -1r + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 -1r + 0 = 0 + -1v -1r = 0 + -1v Remove the zero: -1r = -1v Divide each side by '-1'. r = v Simplifying r = v
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