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Simplifying -6(6r + 1) = 32 + 2r Reorder the terms: -6(1 + 6r) = 32 + 2r (1 * -6 + 6r * -6) = 32 + 2r (-6 + -36r) = 32 + 2r Solving -6 + -36r = 32 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -6 + -36r + -2r = 32 + 2r + -2r Combine like terms: -36r + -2r = -38r -6 + -38r = 32 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + -38r = 32 + 0 -6 + -38r = 32 Add '6' to each side of the equation. -6 + 6 + -38r = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -38r = 32 + 6 -38r = 32 + 6 Combine like terms: 32 + 6 = 38 -38r = 38 Divide each side by '-38'. r = -1 Simplifying r = -1
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