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Simplifying -13 + -5r + -7r = 4r + 3 Combine like terms: -5r + -7r = -12r -13 + -12r = 4r + 3 Reorder the terms: -13 + -12r = 3 + 4r Solving -13 + -12r = 3 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -13 + -12r + -4r = 3 + 4r + -4r Combine like terms: -12r + -4r = -16r -13 + -16r = 3 + 4r + -4r Combine like terms: 4r + -4r = 0 -13 + -16r = 3 + 0 -13 + -16r = 3 Add '13' to each side of the equation. -13 + 13 + -16r = 3 + 13 Combine like terms: -13 + 13 = 0 0 + -16r = 3 + 13 -16r = 3 + 13 Combine like terms: 3 + 13 = 16 -16r = 16 Divide each side by '-16'. r = -1 Simplifying r = -1
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