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Simplifying -4r + 13 = 1 + -8r + -8r Reorder the terms: 13 + -4r = 1 + -8r + -8r Combine like terms: -8r + -8r = -16r 13 + -4r = 1 + -16r Solving 13 + -4r = 1 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 13 + -4r + 16r = 1 + -16r + 16r Combine like terms: -4r + 16r = 12r 13 + 12r = 1 + -16r + 16r Combine like terms: -16r + 16r = 0 13 + 12r = 1 + 0 13 + 12r = 1 Add '-13' to each side of the equation. 13 + -13 + 12r = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 12r = 1 + -13 12r = 1 + -13 Combine like terms: 1 + -13 = -12 12r = -12 Divide each side by '12'. r = -1 Simplifying r = -1
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