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