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Simplifying 6(9r + 10) = -2(-20r + -20) + 20 Reorder the terms: 6(10 + 9r) = -2(-20r + -20) + 20 (10 * 6 + 9r * 6) = -2(-20r + -20) + 20 (60 + 54r) = -2(-20r + -20) + 20 Reorder the terms: 60 + 54r = -2(-20 + -20r) + 20 60 + 54r = (-20 * -2 + -20r * -2) + 20 60 + 54r = (40 + 40r) + 20 Reorder the terms: 60 + 54r = 40 + 20 + 40r Combine like terms: 40 + 20 = 60 60 + 54r = 60 + 40r Add '-60' to each side of the equation. 60 + -60 + 54r = 60 + -60 + 40r Combine like terms: 60 + -60 = 0 0 + 54r = 60 + -60 + 40r 54r = 60 + -60 + 40r Combine like terms: 60 + -60 = 0 54r = 0 + 40r 54r = 40r Solving 54r = 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 54r + -40r = 40r + -40r Combine like terms: 54r + -40r = 14r 14r = 40r + -40r Combine like terms: 40r + -40r = 0 14r = 0 Divide each side by '14'. r = 0 Simplifying r = 0
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