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Simplifying 2(4r + -1) = r + 19 Reorder the terms: 2(-1 + 4r) = r + 19 (-1 * 2 + 4r * 2) = r + 19 (-2 + 8r) = r + 19 Reorder the terms: -2 + 8r = 19 + r Solving -2 + 8r = 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. -2 + 8r + -1r = 19 + r + -1r Combine like terms: 8r + -1r = 7r -2 + 7r = 19 + r + -1r Combine like terms: r + -1r = 0 -2 + 7r = 19 + 0 -2 + 7r = 19 Add '2' to each side of the equation. -2 + 2 + 7r = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7r = 19 + 2 7r = 19 + 2 Combine like terms: 19 + 2 = 21 7r = 21 Divide each side by '7'. r = 3 Simplifying r = 3
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