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Simplifying 5(1 + -4r) + 6 = -149 (1 * 5 + -4r * 5) + 6 = -149 (5 + -20r) + 6 = -149 Reorder the terms: 5 + 6 + -20r = -149 Combine like terms: 5 + 6 = 11 11 + -20r = -149 Solving 11 + -20r = -149 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -20r = -149 + -11 Combine like terms: 11 + -11 = 0 0 + -20r = -149 + -11 -20r = -149 + -11 Combine like terms: -149 + -11 = -160 -20r = -160 Divide each side by '-20'. r = 8 Simplifying r = 8
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