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Simplifying 7r + -13 = -40 + 4r Reorder the terms: -13 + 7r = -40 + 4r Solving -13 + 7r = -40 + 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. -13 + 7r + -4r = -40 + 4r + -4r Combine like terms: 7r + -4r = 3r -13 + 3r = -40 + 4r + -4r Combine like terms: 4r + -4r = 0 -13 + 3r = -40 + 0 -13 + 3r = -40 Add '13' to each side of the equation. -13 + 13 + 3r = -40 + 13 Combine like terms: -13 + 13 = 0 0 + 3r = -40 + 13 3r = -40 + 13 Combine like terms: -40 + 13 = -27 3r = -27 Divide each side by '3'. r = -9 Simplifying r = -9
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