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Simplifying 4 + 5(5 + -2r) = -4(8 + 7r) 4 + (5 * 5 + -2r * 5) = -4(8 + 7r) 4 + (25 + -10r) = -4(8 + 7r) Combine like terms: 4 + 25 = 29 29 + -10r = -4(8 + 7r) 29 + -10r = (8 * -4 + 7r * -4) 29 + -10r = (-32 + -28r) Solving 29 + -10r = -32 + -28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28r' to each side of the equation. 29 + -10r + 28r = -32 + -28r + 28r Combine like terms: -10r + 28r = 18r 29 + 18r = -32 + -28r + 28r Combine like terms: -28r + 28r = 0 29 + 18r = -32 + 0 29 + 18r = -32 Add '-29' to each side of the equation. 29 + -29 + 18r = -32 + -29 Combine like terms: 29 + -29 = 0 0 + 18r = -32 + -29 18r = -32 + -29 Combine like terms: -32 + -29 = -61 18r = -61 Divide each side by '18'. r = -3.388888889 Simplifying r = -3.388888889
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