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Simplifying 3 + -5r = 4r + -2(-8 + -2r) 3 + -5r = 4r + (-8 * -2 + -2r * -2) 3 + -5r = 4r + (16 + 4r) Reorder the terms: 3 + -5r = 16 + 4r + 4r Combine like terms: 4r + 4r = 8r 3 + -5r = 16 + 8r Solving 3 + -5r = 16 + 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. 3 + -5r + -8r = 16 + 8r + -8r Combine like terms: -5r + -8r = -13r 3 + -13r = 16 + 8r + -8r Combine like terms: 8r + -8r = 0 3 + -13r = 16 + 0 3 + -13r = 16 Add '-3' to each side of the equation. 3 + -3 + -13r = 16 + -3 Combine like terms: 3 + -3 = 0 0 + -13r = 16 + -3 -13r = 16 + -3 Combine like terms: 16 + -3 = 13 -13r = 13 Divide each side by '-13'. r = -1 Simplifying r = -1
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