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Simplifying 8(2r + -1) + r = -27 + -2r Reorder the terms: 8(-1 + 2r) + r = -27 + -2r (-1 * 8 + 2r * 8) + r = -27 + -2r (-8 + 16r) + r = -27 + -2r Combine like terms: 16r + r = 17r -8 + 17r = -27 + -2r Solving -8 + 17r = -27 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -8 + 17r + 2r = -27 + -2r + 2r Combine like terms: 17r + 2r = 19r -8 + 19r = -27 + -2r + 2r Combine like terms: -2r + 2r = 0 -8 + 19r = -27 + 0 -8 + 19r = -27 Add '8' to each side of the equation. -8 + 8 + 19r = -27 + 8 Combine like terms: -8 + 8 = 0 0 + 19r = -27 + 8 19r = -27 + 8 Combine like terms: -27 + 8 = -19 19r = -19 Divide each side by '19'. r = -1 Simplifying r = -1
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