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Simplifying 20r + -20 + -7r = 5(2r + 20) + 11r Reorder the terms: -20 + 20r + -7r = 5(2r + 20) + 11r Combine like terms: 20r + -7r = 13r -20 + 13r = 5(2r + 20) + 11r Reorder the terms: -20 + 13r = 5(20 + 2r) + 11r -20 + 13r = (20 * 5 + 2r * 5) + 11r -20 + 13r = (100 + 10r) + 11r Combine like terms: 10r + 11r = 21r -20 + 13r = 100 + 21r Solving -20 + 13r = 100 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -20 + 13r + -21r = 100 + 21r + -21r Combine like terms: 13r + -21r = -8r -20 + -8r = 100 + 21r + -21r Combine like terms: 21r + -21r = 0 -20 + -8r = 100 + 0 -20 + -8r = 100 Add '20' to each side of the equation. -20 + 20 + -8r = 100 + 20 Combine like terms: -20 + 20 = 0 0 + -8r = 100 + 20 -8r = 100 + 20 Combine like terms: 100 + 20 = 120 -8r = 120 Divide each side by '-8'. r = -15 Simplifying r = -15
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