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Simplifying 19 + -5r = -4(3r + -6) + 8r Reorder the terms: 19 + -5r = -4(-6 + 3r) + 8r 19 + -5r = (-6 * -4 + 3r * -4) + 8r 19 + -5r = (24 + -12r) + 8r Combine like terms: -12r + 8r = -4r 19 + -5r = 24 + -4r Solving 19 + -5r = 24 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 19 + -5r + 4r = 24 + -4r + 4r Combine like terms: -5r + 4r = -1r 19 + -1r = 24 + -4r + 4r Combine like terms: -4r + 4r = 0 19 + -1r = 24 + 0 19 + -1r = 24 Add '-19' to each side of the equation. 19 + -19 + -1r = 24 + -19 Combine like terms: 19 + -19 = 0 0 + -1r = 24 + -19 -1r = 24 + -19 Combine like terms: 24 + -19 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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