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Simplifying -9r + -9 = 6r + 51 Reorder the terms: -9 + -9r = 6r + 51 Reorder the terms: -9 + -9r = 51 + 6r Solving -9 + -9r = 51 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -9 + -9r + -6r = 51 + 6r + -6r Combine like terms: -9r + -6r = -15r -9 + -15r = 51 + 6r + -6r Combine like terms: 6r + -6r = 0 -9 + -15r = 51 + 0 -9 + -15r = 51 Add '9' to each side of the equation. -9 + 9 + -15r = 51 + 9 Combine like terms: -9 + 9 = 0 0 + -15r = 51 + 9 -15r = 51 + 9 Combine like terms: 51 + 9 = 60 -15r = 60 Divide each side by '-15'. r = -4 Simplifying r = -4
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