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Simplifying 2r + -6(4x + 17) = 8 Reorder the terms: 2r + -6(17 + 4x) = 8 2r + (17 * -6 + 4x * -6) = 8 2r + (-102 + -24x) = 8 Reorder the terms: -102 + 2r + -24x = 8 Solving -102 + 2r + -24x = 8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 2r + 102 + -24x = 8 + 102 Reorder the terms: -102 + 102 + 2r + -24x = 8 + 102 Combine like terms: -102 + 102 = 0 0 + 2r + -24x = 8 + 102 2r + -24x = 8 + 102 Combine like terms: 8 + 102 = 110 2r + -24x = 110 Add '24x' to each side of the equation. 2r + -24x + 24x = 110 + 24x Combine like terms: -24x + 24x = 0 2r + 0 = 110 + 24x 2r = 110 + 24x Divide each side by '2'. r = 55 + 12x Simplifying r = 55 + 12x
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