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Simplifying 3(2 + -3r) = 22 + -7r (2 * 3 + -3r * 3) = 22 + -7r (6 + -9r) = 22 + -7r Solving 6 + -9r = 22 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 6 + -9r + 7r = 22 + -7r + 7r Combine like terms: -9r + 7r = -2r 6 + -2r = 22 + -7r + 7r Combine like terms: -7r + 7r = 0 6 + -2r = 22 + 0 6 + -2r = 22 Add '-6' to each side of the equation. 6 + -6 + -2r = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -2r = 22 + -6 -2r = 22 + -6 Combine like terms: 22 + -6 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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