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Simplifying -31(1 + 6r) = 14 + -1r (1 * -31 + 6r * -31) = 14 + -1r (-31 + -186r) = 14 + -1r Solving -31 + -186r = 14 + -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. -31 + -186r + r = 14 + -1r + r Combine like terms: -186r + r = -185r -31 + -185r = 14 + -1r + r Combine like terms: -1r + r = 0 -31 + -185r = 14 + 0 -31 + -185r = 14 Add '31' to each side of the equation. -31 + 31 + -185r = 14 + 31 Combine like terms: -31 + 31 = 0 0 + -185r = 14 + 31 -185r = 14 + 31 Combine like terms: 14 + 31 = 45 -185r = 45 Divide each side by '-185'. r = -0.2432432432 Simplifying r = -0.2432432432
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