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Simplifying 66 = 1 + -5(4r + -5) Reorder the terms: 66 = 1 + -5(-5 + 4r) 66 = 1 + (-5 * -5 + 4r * -5) 66 = 1 + (25 + -20r) Combine like terms: 1 + 25 = 26 66 = 26 + -20r Solving 66 = 26 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. 66 + 20r = 26 + -20r + 20r Combine like terms: -20r + 20r = 0 66 + 20r = 26 + 0 66 + 20r = 26 Add '-66' to each side of the equation. 66 + -66 + 20r = 26 + -66 Combine like terms: 66 + -66 = 0 0 + 20r = 26 + -66 20r = 26 + -66 Combine like terms: 26 + -66 = -40 20r = -40 Divide each side by '20'. r = -2 Simplifying r = -2
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