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Simplifying 26r + -4[5(4 + -2r) + -5(2 + -5r)] = 0 26r + -4[(4 * 5 + -2r * 5) + -5(2 + -5r)] = 0 26r + -4[(20 + -10r) + -5(2 + -5r)] = 0 26r + -4[20 + -10r + (2 * -5 + -5r * -5)] = 0 26r + -4[20 + -10r + (-10 + 25r)] = 0 Reorder the terms: 26r + -4[20 + -10 + -10r + 25r] = 0 Combine like terms: 20 + -10 = 10 26r + -4[10 + -10r + 25r] = 0 Combine like terms: -10r + 25r = 15r 26r + -4[10 + 15r] = 0 26r + [10 * -4 + 15r * -4] = 0 26r + [-40 + -60r] = 0 Reorder the terms: -40 + 26r + -60r = 0 Combine like terms: 26r + -60r = -34r -40 + -34r = 0 Solving -40 + -34r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -34r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -34r = 0 + 40 -34r = 0 + 40 Combine like terms: 0 + 40 = 40 -34r = 40 Divide each side by '-34'. r = -1.176470588 Simplifying r = -1.176470588
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