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Simplifying -8(r + 8) + 8(1 + -7r) = 8 Reorder the terms: -8(8 + r) + 8(1 + -7r) = 8 (8 * -8 + r * -8) + 8(1 + -7r) = 8 (-64 + -8r) + 8(1 + -7r) = 8 -64 + -8r + (1 * 8 + -7r * 8) = 8 -64 + -8r + (8 + -56r) = 8 Reorder the terms: -64 + 8 + -8r + -56r = 8 Combine like terms: -64 + 8 = -56 -56 + -8r + -56r = 8 Combine like terms: -8r + -56r = -64r -56 + -64r = 8 Solving -56 + -64r = 8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -64r = 8 + 56 Combine like terms: -56 + 56 = 0 0 + -64r = 8 + 56 -64r = 8 + 56 Combine like terms: 8 + 56 = 64 -64r = 64 Divide each side by '-64'. r = -1 Simplifying r = -1
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