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Simplifying -8(4 + 2r) + 6r = -82 (4 * -8 + 2r * -8) + 6r = -82 (-32 + -16r) + 6r = -82 Combine like terms: -16r + 6r = -10r -32 + -10r = -82 Solving -32 + -10r = -82 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -10r = -82 + 32 Combine like terms: -32 + 32 = 0 0 + -10r = -82 + 32 -10r = -82 + 32 Combine like terms: -82 + 32 = -50 -10r = -50 Divide each side by '-10'. r = 5 Simplifying r = 5
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