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Simplifying 1 + 4r + 6r + 12 = 1 + 4r + 4r Reorder the terms: 1 + 12 + 4r + 6r = 1 + 4r + 4r Combine like terms: 1 + 12 = 13 13 + 4r + 6r = 1 + 4r + 4r Combine like terms: 4r + 6r = 10r 13 + 10r = 1 + 4r + 4r Combine like terms: 4r + 4r = 8r 13 + 10r = 1 + 8r Solving 13 + 10r = 1 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 13 + 10r + -8r = 1 + 8r + -8r Combine like terms: 10r + -8r = 2r 13 + 2r = 1 + 8r + -8r Combine like terms: 8r + -8r = 0 13 + 2r = 1 + 0 13 + 2r = 1 Add '-13' to each side of the equation. 13 + -13 + 2r = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 2r = 1 + -13 2r = 1 + -13 Combine like terms: 1 + -13 = -12 2r = -12 Divide each side by '2'. r = -6 Simplifying r = -6
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