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Simplifying 24 + -7r = -3(1 + -5r) + 5r 24 + -7r = (1 * -3 + -5r * -3) + 5r 24 + -7r = (-3 + 15r) + 5r Combine like terms: 15r + 5r = 20r 24 + -7r = -3 + 20r Solving 24 + -7r = -3 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 24 + -7r + -20r = -3 + 20r + -20r Combine like terms: -7r + -20r = -27r 24 + -27r = -3 + 20r + -20r Combine like terms: 20r + -20r = 0 24 + -27r = -3 + 0 24 + -27r = -3 Add '-24' to each side of the equation. 24 + -24 + -27r = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -27r = -3 + -24 -27r = -3 + -24 Combine like terms: -3 + -24 = -27 -27r = -27 Divide each side by '-27'. r = 1 Simplifying r = 1
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