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Simplifying 4r + 7 = 10r + 13 Reorder the terms: 7 + 4r = 10r + 13 Reorder the terms: 7 + 4r = 13 + 10r Solving 7 + 4r = 13 + 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. 7 + 4r + -10r = 13 + 10r + -10r Combine like terms: 4r + -10r = -6r 7 + -6r = 13 + 10r + -10r Combine like terms: 10r + -10r = 0 7 + -6r = 13 + 0 7 + -6r = 13 Add '-7' to each side of the equation. 7 + -7 + -6r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = 13 + -7 -6r = 13 + -7 Combine like terms: 13 + -7 = 6 -6r = 6 Divide each side by '-6'. r = -1 Simplifying r = -1
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