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Simplifying 21(r + 5) + 3(r + -2) = 0 Reorder the terms: 21(5 + r) + 3(r + -2) = 0 (5 * 21 + r * 21) + 3(r + -2) = 0 (105 + 21r) + 3(r + -2) = 0 Reorder the terms: 105 + 21r + 3(-2 + r) = 0 105 + 21r + (-2 * 3 + r * 3) = 0 105 + 21r + (-6 + 3r) = 0 Reorder the terms: 105 + -6 + 21r + 3r = 0 Combine like terms: 105 + -6 = 99 99 + 21r + 3r = 0 Combine like terms: 21r + 3r = 24r 99 + 24r = 0 Solving 99 + 24r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + 24r = 0 + -99 Combine like terms: 99 + -99 = 0 0 + 24r = 0 + -99 24r = 0 + -99 Combine like terms: 0 + -99 = -99 24r = -99 Divide each side by '24'. r = -4.125 Simplifying r = -4.125
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