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Simplifying 116 = -4(5r + 1) Reorder the terms: 116 = -4(1 + 5r) 116 = (1 * -4 + 5r * -4) 116 = (-4 + -20r) Solving 116 = -4 + -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. 116 + 20r = -4 + -20r + 20r Combine like terms: -20r + 20r = 0 116 + 20r = -4 + 0 116 + 20r = -4 Add '-116' to each side of the equation. 116 + -116 + 20r = -4 + -116 Combine like terms: 116 + -116 = 0 0 + 20r = -4 + -116 20r = -4 + -116 Combine like terms: -4 + -116 = -120 20r = -120 Divide each side by '20'. r = -6 Simplifying r = -6
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