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Simplifying -218 = 2r + -8(6 + -4r) -218 = 2r + (6 * -8 + -4r * -8) -218 = 2r + (-48 + 32r) Reorder the terms: -218 = -48 + 2r + 32r Combine like terms: 2r + 32r = 34r -218 = -48 + 34r Solving -218 = -48 + 34r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-34r' to each side of the equation. -218 + -34r = -48 + 34r + -34r Combine like terms: 34r + -34r = 0 -218 + -34r = -48 + 0 -218 + -34r = -48 Add '218' to each side of the equation. -218 + 218 + -34r = -48 + 218 Combine like terms: -218 + 218 = 0 0 + -34r = -48 + 218 -34r = -48 + 218 Combine like terms: -48 + 218 = 170 -34r = 170 Divide each side by '-34'. r = -5 Simplifying r = -5
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