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Simplifying -116 = -4(5r + 4) Reorder the terms: -116 = -4(4 + 5r) -116 = (4 * -4 + 5r * -4) -116 = (-16 + -20r) Solving -116 = -16 + -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 = -16 + -20r + 20r Combine like terms: -20r + 20r = 0 -116 + 20r = -16 + 0 -116 + 20r = -16 Add '116' to each side of the equation. -116 + 116 + 20r = -16 + 116 Combine like terms: -116 + 116 = 0 0 + 20r = -16 + 116 20r = -16 + 116 Combine like terms: -16 + 116 = 100 20r = 100 Divide each side by '20'. r = 5 Simplifying r = 5
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