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Simplifying r + -4[1 + -2(4r + 3)] = 53 Reorder the terms: r + -4[1 + -2(3 + 4r)] = 53 r + -4[1 + (3 * -2 + 4r * -2)] = 53 r + -4[1 + (-6 + -8r)] = 53 Combine like terms: 1 + -6 = -5 r + -4[-5 + -8r] = 53 r + [-5 * -4 + -8r * -4] = 53 r + [20 + 32r] = 53 Reorder the terms: 20 + r + 32r = 53 Combine like terms: r + 32r = 33r 20 + 33r = 53 Solving 20 + 33r = 53 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 33r = 53 + -20 Combine like terms: 20 + -20 = 0 0 + 33r = 53 + -20 33r = 53 + -20 Combine like terms: 53 + -20 = 33 33r = 33 Divide each side by '33'. r = 1 Simplifying r = 1
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