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Simplifying 7 + 3r = 3 + -1(8 + -7r) 7 + 3r = 3 + (8 * -1 + -7r * -1) 7 + 3r = 3 + (-8 + 7r) Combine like terms: 3 + -8 = -5 7 + 3r = -5 + 7r Solving 7 + 3r = -5 + 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. 7 + 3r + -7r = -5 + 7r + -7r Combine like terms: 3r + -7r = -4r 7 + -4r = -5 + 7r + -7r Combine like terms: 7r + -7r = 0 7 + -4r = -5 + 0 7 + -4r = -5 Add '-7' to each side of the equation. 7 + -7 + -4r = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4r = -5 + -7 -4r = -5 + -7 Combine like terms: -5 + -7 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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