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Simplifying -4(4 + -6r) + 5(-4r + -5) = -25 (4 * -4 + -6r * -4) + 5(-4r + -5) = -25 (-16 + 24r) + 5(-4r + -5) = -25 Reorder the terms: -16 + 24r + 5(-5 + -4r) = -25 -16 + 24r + (-5 * 5 + -4r * 5) = -25 -16 + 24r + (-25 + -20r) = -25 Reorder the terms: -16 + -25 + 24r + -20r = -25 Combine like terms: -16 + -25 = -41 -41 + 24r + -20r = -25 Combine like terms: 24r + -20r = 4r -41 + 4r = -25 Solving -41 + 4r = -25 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 4r = -25 + 41 Combine like terms: -41 + 41 = 0 0 + 4r = -25 + 41 4r = -25 + 41 Combine like terms: -25 + 41 = 16 4r = 16 Divide each side by '4'. r = 4 Simplifying r = 4
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