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Simplifying r + 4 = 4[2(8r + -7) + 5r] + -3r Reorder the terms: 4 + r = 4[2(8r + -7) + 5r] + -3r Reorder the terms: 4 + r = 4[2(-7 + 8r) + 5r] + -3r 4 + r = 4[(-7 * 2 + 8r * 2) + 5r] + -3r 4 + r = 4[(-14 + 16r) + 5r] + -3r Combine like terms: 16r + 5r = 21r 4 + r = 4[-14 + 21r] + -3r 4 + r = [-14 * 4 + 21r * 4] + -3r 4 + r = [-56 + 84r] + -3r Combine like terms: 84r + -3r = 81r 4 + r = -56 + 81r Solving 4 + r = -56 + 81r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-81r' to each side of the equation. 4 + r + -81r = -56 + 81r + -81r Combine like terms: r + -81r = -80r 4 + -80r = -56 + 81r + -81r Combine like terms: 81r + -81r = 0 4 + -80r = -56 + 0 4 + -80r = -56 Add '-4' to each side of the equation. 4 + -4 + -80r = -56 + -4 Combine like terms: 4 + -4 = 0 0 + -80r = -56 + -4 -80r = -56 + -4 Combine like terms: -56 + -4 = -60 -80r = -60 Divide each side by '-80'. r = 0.75 Simplifying r = 0.75
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