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Simplifying 6(r + -6) = 8r + -36 Reorder the terms: 6(-6 + r) = 8r + -36 (-6 * 6 + r * 6) = 8r + -36 (-36 + 6r) = 8r + -36 Reorder the terms: -36 + 6r = -36 + 8r Add '36' to each side of the equation. -36 + 36 + 6r = -36 + 36 + 8r Combine like terms: -36 + 36 = 0 0 + 6r = -36 + 36 + 8r 6r = -36 + 36 + 8r Combine like terms: -36 + 36 = 0 6r = 0 + 8r 6r = 8r Solving 6r = 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 6r + -8r = 8r + -8r Combine like terms: 6r + -8r = -2r -2r = 8r + -8r Combine like terms: 8r + -8r = 0 -2r = 0 Divide each side by '-2'. r = 0 Simplifying r = 0
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