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Simplifying 4(r + -2) + -5(-4r + -7) = 27 Reorder the terms: 4(-2 + r) + -5(-4r + -7) = 27 (-2 * 4 + r * 4) + -5(-4r + -7) = 27 (-8 + 4r) + -5(-4r + -7) = 27 Reorder the terms: -8 + 4r + -5(-7 + -4r) = 27 -8 + 4r + (-7 * -5 + -4r * -5) = 27 -8 + 4r + (35 + 20r) = 27 Reorder the terms: -8 + 35 + 4r + 20r = 27 Combine like terms: -8 + 35 = 27 27 + 4r + 20r = 27 Combine like terms: 4r + 20r = 24r 27 + 24r = 27 Add '-27' to each side of the equation. 27 + -27 + 24r = 27 + -27 Combine like terms: 27 + -27 = 0 0 + 24r = 27 + -27 24r = 27 + -27 Combine like terms: 27 + -27 = 0 24r = 0 Solving 24r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '24'. r = 0 Simplifying r = 0
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