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Simplifying 4 + 5r = -8 + 7r Solving 4 + 5r = -8 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 4 + 5r + -7r = -8 + 7r + -7r Combine like terms: 5r + -7r = -2r 4 + -2r = -8 + 7r + -7r Combine like terms: 7r + -7r = 0 4 + -2r = -8 + 0 4 + -2r = -8 Add '-4' to each side of the equation. 4 + -4 + -2r = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = -8 + -4 -2r = -8 + -4 Combine like terms: -8 + -4 = -12 -2r = -12 Divide each side by '-2'. r = 6 Simplifying r = 6
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