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Simplifying 3rx + -2z + 1 = 5rx + -8 Reorder the terms: 1 + 3rx + -2z = 5rx + -8 Reorder the terms: 1 + 3rx + -2z = -8 + 5rx Solving 1 + 3rx + -2z = -8 + 5rx Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5rx' to each side of the equation. 1 + 3rx + -5rx + -2z = -8 + 5rx + -5rx Combine like terms: 3rx + -5rx = -2rx 1 + -2rx + -2z = -8 + 5rx + -5rx Combine like terms: 5rx + -5rx = 0 1 + -2rx + -2z = -8 + 0 1 + -2rx + -2z = -8 Add '-1' to each side of the equation. 1 + -2rx + -1 + -2z = -8 + -1 Reorder the terms: 1 + -1 + -2rx + -2z = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -2rx + -2z = -8 + -1 -2rx + -2z = -8 + -1 Combine like terms: -8 + -1 = -9 -2rx + -2z = -9 Add '2z' to each side of the equation. -2rx + -2z + 2z = -9 + 2z Combine like terms: -2z + 2z = 0 -2rx + 0 = -9 + 2z -2rx = -9 + 2z Divide each side by '-2x'. r = 4.5x-1 + -1x-1z Simplifying r = 4.5x-1 + -1x-1z
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