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Simplifying 6r + 7 = -4r + -12 Reorder the terms: 7 + 6r = -4r + -12 Reorder the terms: 7 + 6r = -12 + -4r Solving 7 + 6r = -12 + -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. 7 + 6r + 4r = -12 + -4r + 4r Combine like terms: 6r + 4r = 10r 7 + 10r = -12 + -4r + 4r Combine like terms: -4r + 4r = 0 7 + 10r = -12 + 0 7 + 10r = -12 Add '-7' to each side of the equation. 7 + -7 + 10r = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 10r = -12 + -7 10r = -12 + -7 Combine like terms: -12 + -7 = -19 10r = -19 Divide each side by '10'. r = -1.9 Simplifying r = -1.9
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