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Simplifying 4[r + 20] = 2r + 40 Reorder the terms: 4[20 + r] = 2r + 40 [20 * 4 + r * 4] = 2r + 40 [80 + 4r] = 2r + 40 Reorder the terms: 80 + 4r = 40 + 2r Solving 80 + 4r = 40 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 80 + 4r + -2r = 40 + 2r + -2r Combine like terms: 4r + -2r = 2r 80 + 2r = 40 + 2r + -2r Combine like terms: 2r + -2r = 0 80 + 2r = 40 + 0 80 + 2r = 40 Add '-80' to each side of the equation. 80 + -80 + 2r = 40 + -80 Combine like terms: 80 + -80 = 0 0 + 2r = 40 + -80 2r = 40 + -80 Combine like terms: 40 + -80 = -40 2r = -40 Divide each side by '2'. r = -20 Simplifying r = -20
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