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Simplifying -94 = -8(2 + -1r) + 5 -94 = (2 * -8 + -1r * -8) + 5 -94 = (-16 + 8r) + 5 Reorder the terms: -94 = -16 + 5 + 8r Combine like terms: -16 + 5 = -11 -94 = -11 + 8r Solving -94 = -11 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -94 + -8r = -11 + 8r + -8r Combine like terms: 8r + -8r = 0 -94 + -8r = -11 + 0 -94 + -8r = -11 Add '94' to each side of the equation. -94 + 94 + -8r = -11 + 94 Combine like terms: -94 + 94 = 0 0 + -8r = -11 + 94 -8r = -11 + 94 Combine like terms: -11 + 94 = 83 -8r = 83 Divide each side by '-8'. r = -10.375 Simplifying r = -10.375
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