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Simplifying 4r + -7 = 8r + 13 Reorder the terms: -7 + 4r = 8r + 13 Reorder the terms: -7 + 4r = 13 + 8r Solving -7 + 4r = 13 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -7 + 4r + -8r = 13 + 8r + -8r Combine like terms: 4r + -8r = -4r -7 + -4r = 13 + 8r + -8r Combine like terms: 8r + -8r = 0 -7 + -4r = 13 + 0 -7 + -4r = 13 Add '7' to each side of the equation. -7 + 7 + -4r = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -4r = 13 + 7 -4r = 13 + 7 Combine like terms: 13 + 7 = 20 -4r = 20 Divide each side by '-4'. r = -5 Simplifying r = -5
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