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Simplifying 5(4 + 7r) = 16 + -1r (4 * 5 + 7r * 5) = 16 + -1r (20 + 35r) = 16 + -1r Solving 20 + 35r = 16 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 20 + 35r + r = 16 + -1r + r Combine like terms: 35r + r = 36r 20 + 36r = 16 + -1r + r Combine like terms: -1r + r = 0 20 + 36r = 16 + 0 20 + 36r = 16 Add '-20' to each side of the equation. 20 + -20 + 36r = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 36r = 16 + -20 36r = 16 + -20 Combine like terms: 16 + -20 = -4 36r = -4 Divide each side by '36'. r = -0.1111111111 Simplifying r = -0.1111111111
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