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Simplifying -4r + -6r + 16 = 3r + 1 Reorder the terms: 16 + -4r + -6r = 3r + 1 Combine like terms: -4r + -6r = -10r 16 + -10r = 3r + 1 Reorder the terms: 16 + -10r = 1 + 3r Solving 16 + -10r = 1 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 16 + -10r + -3r = 1 + 3r + -3r Combine like terms: -10r + -3r = -13r 16 + -13r = 1 + 3r + -3r Combine like terms: 3r + -3r = 0 16 + -13r = 1 + 0 16 + -13r = 1 Add '-16' to each side of the equation. 16 + -16 + -13r = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -13r = 1 + -16 -13r = 1 + -16 Combine like terms: 1 + -16 = -15 -13r = -15 Divide each side by '-13'. r = 1.153846154 Simplifying r = 1.153846154
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