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Simplifying -1r + -5(-2r + -8) = 16 + r Reorder the terms: -1r + -5(-8 + -2r) = 16 + r -1r + (-8 * -5 + -2r * -5) = 16 + r -1r + (40 + 10r) = 16 + r Reorder the terms: 40 + -1r + 10r = 16 + r Combine like terms: -1r + 10r = 9r 40 + 9r = 16 + r Solving 40 + 9r = 16 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 40 + 9r + -1r = 16 + r + -1r Combine like terms: 9r + -1r = 8r 40 + 8r = 16 + r + -1r Combine like terms: r + -1r = 0 40 + 8r = 16 + 0 40 + 8r = 16 Add '-40' to each side of the equation. 40 + -40 + 8r = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 8r = 16 + -40 8r = 16 + -40 Combine like terms: 16 + -40 = -24 8r = -24 Divide each side by '8'. r = -3 Simplifying r = -3
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