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Simplifying 8(8 + 4r) + -2(2r + 2) = -52 (8 * 8 + 4r * 8) + -2(2r + 2) = -52 (64 + 32r) + -2(2r + 2) = -52 Reorder the terms: 64 + 32r + -2(2 + 2r) = -52 64 + 32r + (2 * -2 + 2r * -2) = -52 64 + 32r + (-4 + -4r) = -52 Reorder the terms: 64 + -4 + 32r + -4r = -52 Combine like terms: 64 + -4 = 60 60 + 32r + -4r = -52 Combine like terms: 32r + -4r = 28r 60 + 28r = -52 Solving 60 + 28r = -52 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 28r = -52 + -60 Combine like terms: 60 + -60 = 0 0 + 28r = -52 + -60 28r = -52 + -60 Combine like terms: -52 + -60 = -112 28r = -112 Divide each side by '28'. r = -4 Simplifying r = -4
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