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Simplifying -12 + r + -1 + 4 = 7r + -3 Reorder the terms: -12 + -1 + 4 + r = 7r + -3 Combine like terms: -12 + -1 = -13 -13 + 4 + r = 7r + -3 Combine like terms: -13 + 4 = -9 -9 + r = 7r + -3 Reorder the terms: -9 + r = -3 + 7r Solving -9 + r = -3 + 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. -9 + r + -7r = -3 + 7r + -7r Combine like terms: r + -7r = -6r -9 + -6r = -3 + 7r + -7r Combine like terms: 7r + -7r = 0 -9 + -6r = -3 + 0 -9 + -6r = -3 Add '9' to each side of the equation. -9 + 9 + -6r = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -6r = -3 + 9 -6r = -3 + 9 Combine like terms: -3 + 9 = 6 -6r = 6 Divide each side by '-6'. r = -1 Simplifying r = -1
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