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Simplifying 1r + -4 = 7r + 12 Reorder the terms: -4 + 1r = 7r + 12 Reorder the terms: -4 + 1r = 12 + 7r Solving -4 + 1r = 12 + 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 + 1r + -7r = 12 + 7r + -7r Combine like terms: 1r + -7r = -6r -4 + -6r = 12 + 7r + -7r Combine like terms: 7r + -7r = 0 -4 + -6r = 12 + 0 -4 + -6r = 12 Add '4' to each side of the equation. -4 + 4 + -6r = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -6r = 12 + 4 -6r = 12 + 4 Combine like terms: 12 + 4 = 16 -6r = 16 Divide each side by '-6'. r = -2.666666667 Simplifying r = -2.666666667
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