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Simplifying -84 = -4(4r + 1) Reorder the terms: -84 = -4(1 + 4r) -84 = (1 * -4 + 4r * -4) -84 = (-4 + -16r) Solving -84 = -4 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. -84 + 16r = -4 + -16r + 16r Combine like terms: -16r + 16r = 0 -84 + 16r = -4 + 0 -84 + 16r = -4 Add '84' to each side of the equation. -84 + 84 + 16r = -4 + 84 Combine like terms: -84 + 84 = 0 0 + 16r = -4 + 84 16r = -4 + 84 Combine like terms: -4 + 84 = 80 16r = 80 Divide each side by '16'. r = 5 Simplifying r = 5
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