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Simplifying 7 + -3r = r + -4(5 + 7r) + -4 7 + -3r = r + (5 * -4 + 7r * -4) + -4 7 + -3r = r + (-20 + -28r) + -4 Reorder the terms: 7 + -3r = -20 + -4 + r + -28r Combine like terms: -20 + -4 = -24 7 + -3r = -24 + r + -28r Combine like terms: r + -28r = -27r 7 + -3r = -24 + -27r Solving 7 + -3r = -24 + -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. 7 + -3r + 27r = -24 + -27r + 27r Combine like terms: -3r + 27r = 24r 7 + 24r = -24 + -27r + 27r Combine like terms: -27r + 27r = 0 7 + 24r = -24 + 0 7 + 24r = -24 Add '-7' to each side of the equation. 7 + -7 + 24r = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 24r = -24 + -7 24r = -24 + -7 Combine like terms: -24 + -7 = -31 24r = -31 Divide each side by '24'. r = -1.291666667 Simplifying r = -1.291666667
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