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Simplifying 94 = 8(r + 8) + -3r Reorder the terms: 94 = 8(8 + r) + -3r 94 = (8 * 8 + r * 8) + -3r 94 = (64 + 8r) + -3r Combine like terms: 8r + -3r = 5r 94 = 64 + 5r Solving 94 = 64 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 94 + -5r = 64 + 5r + -5r Combine like terms: 5r + -5r = 0 94 + -5r = 64 + 0 94 + -5r = 64 Add '-94' to each side of the equation. 94 + -94 + -5r = 64 + -94 Combine like terms: 94 + -94 = 0 0 + -5r = 64 + -94 -5r = 64 + -94 Combine like terms: 64 + -94 = -30 -5r = -30 Divide each side by '-5'. r = 6 Simplifying r = 6
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