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Simplifying 4r + 13 = -6r + 33 Reorder the terms: 13 + 4r = -6r + 33 Reorder the terms: 13 + 4r = 33 + -6r Solving 13 + 4r = 33 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 13 + 4r + 6r = 33 + -6r + 6r Combine like terms: 4r + 6r = 10r 13 + 10r = 33 + -6r + 6r Combine like terms: -6r + 6r = 0 13 + 10r = 33 + 0 13 + 10r = 33 Add '-13' to each side of the equation. 13 + -13 + 10r = 33 + -13 Combine like terms: 13 + -13 = 0 0 + 10r = 33 + -13 10r = 33 + -13 Combine like terms: 33 + -13 = 20 10r = 20 Divide each side by '10'. r = 2 Simplifying r = 2
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