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Simplifying 2r + 12 = 6r + -16 Reorder the terms: 12 + 2r = 6r + -16 Reorder the terms: 12 + 2r = -16 + 6r Solving 12 + 2r = -16 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 12 + 2r + -6r = -16 + 6r + -6r Combine like terms: 2r + -6r = -4r 12 + -4r = -16 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + -4r = -16 + 0 12 + -4r = -16 Add '-12' to each side of the equation. 12 + -12 + -4r = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = -16 + -12 -4r = -16 + -12 Combine like terms: -16 + -12 = -28 -4r = -28 Divide each side by '-4'. r = 7 Simplifying r = 7
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