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Simplifying -6r + 12r + -9 + -8r + 10 + r = 0 Reorder the terms: -9 + 10 + -6r + 12r + -8r + r = 0 Combine like terms: -9 + 10 = 1 1 + -6r + 12r + -8r + r = 0 Combine like terms: -6r + 12r = 6r 1 + 6r + -8r + r = 0 Combine like terms: 6r + -8r = -2r 1 + -2r + r = 0 Combine like terms: -2r + r = -1r 1 + -1r = 0 Solving 1 + -1r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 0 + -1 -1r = 0 + -1 Combine like terms: 0 + -1 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1
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