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Simplifying 400 = 4r + 4(r + 10) Reorder the terms: 400 = 4r + 4(10 + r) 400 = 4r + (10 * 4 + r * 4) 400 = 4r + (40 + 4r) Reorder the terms: 400 = 40 + 4r + 4r Combine like terms: 4r + 4r = 8r 400 = 40 + 8r Solving 400 = 40 + 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. 400 + -8r = 40 + 8r + -8r Combine like terms: 8r + -8r = 0 400 + -8r = 40 + 0 400 + -8r = 40 Add '-400' to each side of the equation. 400 + -400 + -8r = 40 + -400 Combine like terms: 400 + -400 = 0 0 + -8r = 40 + -400 -8r = 40 + -400 Combine like terms: 40 + -400 = -360 -8r = -360 Divide each side by '-8'. r = 45 Simplifying r = 45
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