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Simplifying 100 = 4(5 + -4r) 100 = (5 * 4 + -4r * 4) 100 = (20 + -16r) Solving 100 = 20 + -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. 100 + 16r = 20 + -16r + 16r Combine like terms: -16r + 16r = 0 100 + 16r = 20 + 0 100 + 16r = 20 Add '-100' to each side of the equation. 100 + -100 + 16r = 20 + -100 Combine like terms: 100 + -100 = 0 0 + 16r = 20 + -100 16r = 20 + -100 Combine like terms: 20 + -100 = -80 16r = -80 Divide each side by '16'. r = -5 Simplifying r = -5
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