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Simplifying -3r + -20 = -5(4 + 5r) + -2r Reorder the terms: -20 + -3r = -5(4 + 5r) + -2r -20 + -3r = (4 * -5 + 5r * -5) + -2r -20 + -3r = (-20 + -25r) + -2r Combine like terms: -25r + -2r = -27r -20 + -3r = -20 + -27r Add '20' to each side of the equation. -20 + 20 + -3r = -20 + 20 + -27r Combine like terms: -20 + 20 = 0 0 + -3r = -20 + 20 + -27r -3r = -20 + 20 + -27r Combine like terms: -20 + 20 = 0 -3r = 0 + -27r -3r = -27r Solving -3r = -27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27r' to each side of the equation. -3r + 27r = -27r + 27r Combine like terms: -3r + 27r = 24r 24r = -27r + 27r Combine like terms: -27r + 27r = 0 24r = 0 Divide each side by '24'. r = 0 Simplifying r = 0
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