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Simplifying -1(1 + 6r) = 14 + -1r (1 * -1 + 6r * -1) = 14 + -1r (-1 + -6r) = 14 + -1r Solving -1 + -6r = 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. -1 + -6r + r = 14 + -1r + r Combine like terms: -6r + r = -5r -1 + -5r = 14 + -1r + r Combine like terms: -1r + r = 0 -1 + -5r = 14 + 0 -1 + -5r = 14 Add '1' to each side of the equation. -1 + 1 + -5r = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -5r = 14 + 1 -5r = 14 + 1 Combine like terms: 14 + 1 = 15 -5r = 15 Divide each side by '-5'. r = -3 Simplifying r = -3
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