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Simplifying -4r + -6 = 2r + 12 Reorder the terms: -6 + -4r = 2r + 12 Reorder the terms: -6 + -4r = 12 + 2r Solving -6 + -4r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -6 + -4r + -2r = 12 + 2r + -2r Combine like terms: -4r + -2r = -6r -6 + -6r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + -6r = 12 + 0 -6 + -6r = 12 Add '6' to each side of the equation. -6 + 6 + -6r = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6r = 12 + 6 -6r = 12 + 6 Combine like terms: 12 + 6 = 18 -6r = 18 Divide each side by '-6'. r = -3 Simplifying r = -3
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