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Simplifying -12 + r + 5 + -4 = 3r + -1 Reorder the terms: -12 + 5 + -4 + r = 3r + -1 Combine like terms: -12 + 5 = -7 -7 + -4 + r = 3r + -1 Combine like terms: -7 + -4 = -11 -11 + r = 3r + -1 Reorder the terms: -11 + r = -1 + 3r Solving -11 + r = -1 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -11 + r + -3r = -1 + 3r + -3r Combine like terms: r + -3r = -2r -11 + -2r = -1 + 3r + -3r Combine like terms: 3r + -3r = 0 -11 + -2r = -1 + 0 -11 + -2r = -1 Add '11' to each side of the equation. -11 + 11 + -2r = -1 + 11 Combine like terms: -11 + 11 = 0 0 + -2r = -1 + 11 -2r = -1 + 11 Combine like terms: -1 + 11 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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