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Simplifying -81 = 3(-8 + 7r) + 6 -81 = (-8 * 3 + 7r * 3) + 6 -81 = (-24 + 21r) + 6 Reorder the terms: -81 = -24 + 6 + 21r Combine like terms: -24 + 6 = -18 -81 = -18 + 21r Solving -81 = -18 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -81 + -21r = -18 + 21r + -21r Combine like terms: 21r + -21r = 0 -81 + -21r = -18 + 0 -81 + -21r = -18 Add '81' to each side of the equation. -81 + 81 + -21r = -18 + 81 Combine like terms: -81 + 81 = 0 0 + -21r = -18 + 81 -21r = -18 + 81 Combine like terms: -18 + 81 = 63 -21r = 63 Divide each side by '-21'. r = -3 Simplifying r = -3
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