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Simplifying 6r + -7 = 3r + -22 Reorder the terms: -7 + 6r = 3r + -22 Reorder the terms: -7 + 6r = -22 + 3r Solving -7 + 6r = -22 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -7 + 6r + -3r = -22 + 3r + -3r Combine like terms: 6r + -3r = 3r -7 + 3r = -22 + 3r + -3r Combine like terms: 3r + -3r = 0 -7 + 3r = -22 + 0 -7 + 3r = -22 Add '7' to each side of the equation. -7 + 7 + 3r = -22 + 7 Combine like terms: -7 + 7 = 0 0 + 3r = -22 + 7 3r = -22 + 7 Combine like terms: -22 + 7 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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