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Simplifying -5r + -8(7 + -3r) = 4r + 19 -5r + (7 * -8 + -3r * -8) = 4r + 19 -5r + (-56 + 24r) = 4r + 19 Reorder the terms: -56 + -5r + 24r = 4r + 19 Combine like terms: -5r + 24r = 19r -56 + 19r = 4r + 19 Reorder the terms: -56 + 19r = 19 + 4r Solving -56 + 19r = 19 + 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. -56 + 19r + -4r = 19 + 4r + -4r Combine like terms: 19r + -4r = 15r -56 + 15r = 19 + 4r + -4r Combine like terms: 4r + -4r = 0 -56 + 15r = 19 + 0 -56 + 15r = 19 Add '56' to each side of the equation. -56 + 56 + 15r = 19 + 56 Combine like terms: -56 + 56 = 0 0 + 15r = 19 + 56 15r = 19 + 56 Combine like terms: 19 + 56 = 75 15r = 75 Divide each side by '15'. r = 5 Simplifying r = 5
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