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Simplifying 3r + 9 = -3(8r + -3) Reorder the terms: 9 + 3r = -3(8r + -3) Reorder the terms: 9 + 3r = -3(-3 + 8r) 9 + 3r = (-3 * -3 + 8r * -3) 9 + 3r = (9 + -24r) Add '-9' to each side of the equation. 9 + -9 + 3r = 9 + -9 + -24r Combine like terms: 9 + -9 = 0 0 + 3r = 9 + -9 + -24r 3r = 9 + -9 + -24r Combine like terms: 9 + -9 = 0 3r = 0 + -24r 3r = -24r Solving 3r = -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 3r + 24r = -24r + 24r Combine like terms: 3r + 24r = 27r 27r = -24r + 24r Combine like terms: -24r + 24r = 0 27r = 0 Divide each side by '27'. r = 0 Simplifying r = 0
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