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Simplifying 5r + 7 = 4r + -8 Reorder the terms: 7 + 5r = 4r + -8 Reorder the terms: 7 + 5r = -8 + 4r Solving 7 + 5r = -8 + 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. 7 + 5r + -4r = -8 + 4r + -4r Combine like terms: 5r + -4r = 1r 7 + 1r = -8 + 4r + -4r Combine like terms: 4r + -4r = 0 7 + 1r = -8 + 0 7 + 1r = -8 Add '-7' to each side of the equation. 7 + -7 + 1r = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 1r = -8 + -7 1r = -8 + -7 Combine like terms: -8 + -7 = -15 1r = -15 Divide each side by '1'. r = -15 Simplifying r = -15
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