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Simplifying r + 4r + 4r + -4 + 2(4r + -4) = 413 Reorder the terms: r + 4r + 4r + -4 + 2(-4 + 4r) = 413 r + 4r + 4r + -4 + (-4 * 2 + 4r * 2) = 413 r + 4r + 4r + -4 + (-8 + 8r) = 413 Reorder the terms: -4 + -8 + r + 4r + 4r + 8r = 413 Combine like terms: -4 + -8 = -12 -12 + r + 4r + 4r + 8r = 413 Combine like terms: r + 4r = 5r -12 + 5r + 4r + 8r = 413 Combine like terms: 5r + 4r = 9r -12 + 9r + 8r = 413 Combine like terms: 9r + 8r = 17r -12 + 17r = 413 Solving -12 + 17r = 413 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 17r = 413 + 12 Combine like terms: -12 + 12 = 0 0 + 17r = 413 + 12 17r = 413 + 12 Combine like terms: 413 + 12 = 425 17r = 425 Divide each side by '17'. r = 25 Simplifying r = 25
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