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Simplifying 6(1r + -1) = 9r + -36 Reorder the terms: 6(-1 + 1r) = 9r + -36 (-1 * 6 + 1r * 6) = 9r + -36 (-6 + 6r) = 9r + -36 Reorder the terms: -6 + 6r = -36 + 9r Solving -6 + 6r = -36 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -6 + 6r + -9r = -36 + 9r + -9r Combine like terms: 6r + -9r = -3r -6 + -3r = -36 + 9r + -9r Combine like terms: 9r + -9r = 0 -6 + -3r = -36 + 0 -6 + -3r = -36 Add '6' to each side of the equation. -6 + 6 + -3r = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -3r = -36 + 6 -3r = -36 + 6 Combine like terms: -36 + 6 = -30 -3r = -30 Divide each side by '-3'. r = 10 Simplifying r = 10
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