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Simplifying -8 + z(1 + 3r) = 4 + 2r -8 + (1 * z + 3r * z) = 4 + 2r Reorder the terms: -8 + (3rz + 1z) = 4 + 2r -8 + (3rz + 1z) = 4 + 2r Solving -8 + 3rz + 1z = 4 + 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 + 3rz + -2r + 1z = 4 + 2r + -2r Reorder the terms: -8 + -2r + 3rz + 1z = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + -2r + 3rz + 1z = 4 + 0 -8 + -2r + 3rz + 1z = 4 Add '8' to each side of the equation. -8 + -2r + 3rz + 8 + 1z = 4 + 8 Reorder the terms: -8 + 8 + -2r + 3rz + 1z = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -2r + 3rz + 1z = 4 + 8 -2r + 3rz + 1z = 4 + 8 Combine like terms: 4 + 8 = 12 -2r + 3rz + 1z = 12 Add '-1z' to each side of the equation. -2r + 3rz + 1z + -1z = 12 + -1z Combine like terms: 1z + -1z = 0 -2r + 3rz + 0 = 12 + -1z -2r + 3rz = 12 + -1z Reorder the terms: -12 + -2r + 3rz + z = 12 + -1z + -12 + z Reorder the terms: -12 + -2r + 3rz + z = 12 + -12 + -1z + z Combine like terms: 12 + -12 = 0 -12 + -2r + 3rz + z = 0 + -1z + z -12 + -2r + 3rz + z = -1z + z Combine like terms: -1z + z = 0 -12 + -2r + 3rz + z = 0 The solution to this equation could not be determined.
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