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Simplifying 19 + 5r = -5(-4 + -2r) + 4 19 + 5r = (-4 * -5 + -2r * -5) + 4 19 + 5r = (20 + 10r) + 4 Reorder the terms: 19 + 5r = 20 + 4 + 10r Combine like terms: 20 + 4 = 24 19 + 5r = 24 + 10r Solving 19 + 5r = 24 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 19 + 5r + -10r = 24 + 10r + -10r Combine like terms: 5r + -10r = -5r 19 + -5r = 24 + 10r + -10r Combine like terms: 10r + -10r = 0 19 + -5r = 24 + 0 19 + -5r = 24 Add '-19' to each side of the equation. 19 + -19 + -5r = 24 + -19 Combine like terms: 19 + -19 = 0 0 + -5r = 24 + -19 -5r = 24 + -19 Combine like terms: 24 + -19 = 5 -5r = 5 Divide each side by '-5'. r = -1 Simplifying r = -1
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