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Simplifying 4 + r = -2(-4r + 1) Reorder the terms: 4 + r = -2(1 + -4r) 4 + r = (1 * -2 + -4r * -2) 4 + r = (-2 + 8r) Solving 4 + r = -2 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 4 + r + -8r = -2 + 8r + -8r Combine like terms: r + -8r = -7r 4 + -7r = -2 + 8r + -8r Combine like terms: 8r + -8r = 0 4 + -7r = -2 + 0 4 + -7r = -2 Add '-4' to each side of the equation. 4 + -4 + -7r = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -7r = -2 + -4 -7r = -2 + -4 Combine like terms: -2 + -4 = -6 -7r = -6 Divide each side by '-7'. r = 0.8571428571 Simplifying r = 0.8571428571
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