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Simplifying 25(r + -2) = 320(r + -4) Reorder the terms: 25(-2 + r) = 320(r + -4) (-2 * 25 + r * 25) = 320(r + -4) (-50 + 25r) = 320(r + -4) Reorder the terms: -50 + 25r = 320(-4 + r) -50 + 25r = (-4 * 320 + r * 320) -50 + 25r = (-1280 + 320r) Solving -50 + 25r = -1280 + 320r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-320r' to each side of the equation. -50 + 25r + -320r = -1280 + 320r + -320r Combine like terms: 25r + -320r = -295r -50 + -295r = -1280 + 320r + -320r Combine like terms: 320r + -320r = 0 -50 + -295r = -1280 + 0 -50 + -295r = -1280 Add '50' to each side of the equation. -50 + 50 + -295r = -1280 + 50 Combine like terms: -50 + 50 = 0 0 + -295r = -1280 + 50 -295r = -1280 + 50 Combine like terms: -1280 + 50 = -1230 -295r = -1230 Divide each side by '-295'. r = 4.169491525 Simplifying r = 4.169491525
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