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Simplifying -18r + -6 + -7r = -10r + -12r + 9 Reorder the terms: -6 + -18r + -7r = -10r + -12r + 9 Combine like terms: -18r + -7r = -25r -6 + -25r = -10r + -12r + 9 Reorder the terms: -6 + -25r = 9 + -10r + -12r Combine like terms: -10r + -12r = -22r -6 + -25r = 9 + -22r Solving -6 + -25r = 9 + -22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22r' to each side of the equation. -6 + -25r + 22r = 9 + -22r + 22r Combine like terms: -25r + 22r = -3r -6 + -3r = 9 + -22r + 22r Combine like terms: -22r + 22r = 0 -6 + -3r = 9 + 0 -6 + -3r = 9 Add '6' to each side of the equation. -6 + 6 + -3r = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3r = 9 + 6 -3r = 9 + 6 Combine like terms: 9 + 6 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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