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Simplifying -6r + 19 = -1(1 + r) Reorder the terms: 19 + -6r = -1(1 + r) 19 + -6r = (1 * -1 + r * -1) 19 + -6r = (-1 + -1r) Solving 19 + -6r = -1 + -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. 19 + -6r + r = -1 + -1r + r Combine like terms: -6r + r = -5r 19 + -5r = -1 + -1r + r Combine like terms: -1r + r = 0 19 + -5r = -1 + 0 19 + -5r = -1 Add '-19' to each side of the equation. 19 + -19 + -5r = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -5r = -1 + -19 -5r = -1 + -19 Combine like terms: -1 + -19 = -20 -5r = -20 Divide each side by '-5'. r = 4 Simplifying r = 4
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