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Simplifying 24 + 7r = -8(9r + 5) Reorder the terms: 24 + 7r = -8(5 + 9r) 24 + 7r = (5 * -8 + 9r * -8) 24 + 7r = (-40 + -72r) Solving 24 + 7r = -40 + -72r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '72r' to each side of the equation. 24 + 7r + 72r = -40 + -72r + 72r Combine like terms: 7r + 72r = 79r 24 + 79r = -40 + -72r + 72r Combine like terms: -72r + 72r = 0 24 + 79r = -40 + 0 24 + 79r = -40 Add '-24' to each side of the equation. 24 + -24 + 79r = -40 + -24 Combine like terms: 24 + -24 = 0 0 + 79r = -40 + -24 79r = -40 + -24 Combine like terms: -40 + -24 = -64 79r = -64 Divide each side by '79'. r = -0.8101265823 Simplifying r = -0.8101265823
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