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Simplifying -3r + 55 = 10r + 15 Reorder the terms: 55 + -3r = 10r + 15 Reorder the terms: 55 + -3r = 15 + 10r Solving 55 + -3r = 15 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 55 + -3r + -10r = 15 + 10r + -10r Combine like terms: -3r + -10r = -13r 55 + -13r = 15 + 10r + -10r Combine like terms: 10r + -10r = 0 55 + -13r = 15 + 0 55 + -13r = 15 Add '-55' to each side of the equation. 55 + -55 + -13r = 15 + -55 Combine like terms: 55 + -55 = 0 0 + -13r = 15 + -55 -13r = 15 + -55 Combine like terms: 15 + -55 = -40 -13r = -40 Divide each side by '-13'. r = 3.076923077 Simplifying r = 3.076923077
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