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Simplifying -5(7r + -3) + -5(7 + 4r) = -75 Reorder the terms: -5(-3 + 7r) + -5(7 + 4r) = -75 (-3 * -5 + 7r * -5) + -5(7 + 4r) = -75 (15 + -35r) + -5(7 + 4r) = -75 15 + -35r + (7 * -5 + 4r * -5) = -75 15 + -35r + (-35 + -20r) = -75 Reorder the terms: 15 + -35 + -35r + -20r = -75 Combine like terms: 15 + -35 = -20 -20 + -35r + -20r = -75 Combine like terms: -35r + -20r = -55r -20 + -55r = -75 Solving -20 + -55r = -75 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -55r = -75 + 20 Combine like terms: -20 + 20 = 0 0 + -55r = -75 + 20 -55r = -75 + 20 Combine like terms: -75 + 20 = -55 -55r = -55 Divide each side by '-55'. r = 1 Simplifying r = 1
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