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Simplifying -5(5r + 7) + -4(7 + 5r) = 72 Reorder the terms: -5(7 + 5r) + -4(7 + 5r) = 72 (7 * -5 + 5r * -5) + -4(7 + 5r) = 72 (-35 + -25r) + -4(7 + 5r) = 72 -35 + -25r + (7 * -4 + 5r * -4) = 72 -35 + -25r + (-28 + -20r) = 72 Reorder the terms: -35 + -28 + -25r + -20r = 72 Combine like terms: -35 + -28 = -63 -63 + -25r + -20r = 72 Combine like terms: -25r + -20r = -45r -63 + -45r = 72 Solving -63 + -45r = 72 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -45r = 72 + 63 Combine like terms: -63 + 63 = 0 0 + -45r = 72 + 63 -45r = 72 + 63 Combine like terms: 72 + 63 = 135 -45r = 135 Divide each side by '-45'. r = -3 Simplifying r = -3
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