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Simplifying 400 = (r + -20) * 8 Reorder the terms: 400 = (-20 + r) * 8 Reorder the terms for easier multiplication: 400 = 8(-20 + r) 400 = (-20 * 8 + r * 8) 400 = (-160 + 8r) Solving 400 = -160 + 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 = -160 + 8r + -8r Combine like terms: 8r + -8r = 0 400 + -8r = -160 + 0 400 + -8r = -160 Add '-400' to each side of the equation. 400 + -400 + -8r = -160 + -400 Combine like terms: 400 + -400 = 0 0 + -8r = -160 + -400 -8r = -160 + -400 Combine like terms: -160 + -400 = -560 -8r = -560 Divide each side by '-8'. r = 70 Simplifying r = 70
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