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Simplifying 5r + -8(4r + 2) = 10 + -1r Reorder the terms: 5r + -8(2 + 4r) = 10 + -1r 5r + (2 * -8 + 4r * -8) = 10 + -1r 5r + (-16 + -32r) = 10 + -1r Reorder the terms: -16 + 5r + -32r = 10 + -1r Combine like terms: 5r + -32r = -27r -16 + -27r = 10 + -1r Solving -16 + -27r = 10 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -16 + -27r + r = 10 + -1r + r Combine like terms: -27r + r = -26r -16 + -26r = 10 + -1r + r Combine like terms: -1r + r = 0 -16 + -26r = 10 + 0 -16 + -26r = 10 Add '16' to each side of the equation. -16 + 16 + -26r = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -26r = 10 + 16 -26r = 10 + 16 Combine like terms: 10 + 16 = 26 -26r = 26 Divide each side by '-26'. r = -1 Simplifying r = -1
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