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Simplifying 2r4 + 6xy2 + 3x3z2 = 0 Solving 2r4 + 6xy2 + 3x3z2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6xy2' to each side of the equation. 2r4 + 6xy2 + -6xy2 + 3x3z2 = 0 + -6xy2 Combine like terms: 6xy2 + -6xy2 = 0 2r4 + 0 + 3x3z2 = 0 + -6xy2 2r4 + 3x3z2 = 0 + -6xy2 Remove the zero: 2r4 + 3x3z2 = -6xy2 Add '-3x3z2' to each side of the equation. 2r4 + 3x3z2 + -3x3z2 = -6xy2 + -3x3z2 Combine like terms: 3x3z2 + -3x3z2 = 0 2r4 + 0 = -6xy2 + -3x3z2 2r4 = -6xy2 + -3x3z2 Divide each side by '2'. r4 = -3xy2 + -1.5x3z2 Simplifying r4 = -3xy2 + -1.5x3z2 Reorder the terms: r4 + 3xy2 + 1.5x3z2 = -3xy2 + 3xy2 + -1.5x3z2 + 1.5x3z2 Combine like terms: -3xy2 + 3xy2 = 0 r4 + 3xy2 + 1.5x3z2 = 0 + -1.5x3z2 + 1.5x3z2 r4 + 3xy2 + 1.5x3z2 = -1.5x3z2 + 1.5x3z2 Combine like terms: -1.5x3z2 + 1.5x3z2 = 0.0 r4 + 3xy2 + 1.5x3z2 = 0.0 The solution to this equation could not be determined.
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