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Simplifying 31 + -4r = -7(-4a + 8) Reorder the terms: 31 + -4r = -7(8 + -4a) 31 + -4r = (8 * -7 + -4a * -7) 31 + -4r = (-56 + 28a) Solving 31 + -4r = -56 + 28a Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -4r = -56 + -31 + 28a Combine like terms: 31 + -31 = 0 0 + -4r = -56 + -31 + 28a -4r = -56 + -31 + 28a Combine like terms: -56 + -31 = -87 -4r = -87 + 28a Divide each side by '-4'. r = 21.75 + -7a Simplifying r = 21.75 + -7a
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