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Simplifying 2x + 3z2 + -81 + 4r4 = 0 Reorder the terms: -81 + 4r4 + 2x + 3z2 = 0 Solving -81 + 4r4 + 2x + 3z2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 4r4 + 2x + 81 + 3z2 = 0 + 81 Reorder the terms: -81 + 81 + 4r4 + 2x + 3z2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 4r4 + 2x + 3z2 = 0 + 81 4r4 + 2x + 3z2 = 0 + 81 Combine like terms: 0 + 81 = 81 4r4 + 2x + 3z2 = 81 Add '-2x' to each side of the equation. 4r4 + 2x + -2x + 3z2 = 81 + -2x Combine like terms: 2x + -2x = 0 4r4 + 0 + 3z2 = 81 + -2x 4r4 + 3z2 = 81 + -2x Add '-3z2' to each side of the equation. 4r4 + 3z2 + -3z2 = 81 + -2x + -3z2 Combine like terms: 3z2 + -3z2 = 0 4r4 + 0 = 81 + -2x + -3z2 4r4 = 81 + -2x + -3z2 Divide each side by '4'. r4 = 20.25 + -0.5x + -0.75z2 Simplifying r4 = 20.25 + -0.5x + -0.75z2 Reorder the terms: -20.25 + r4 + 0.5x + 0.75z2 = 20.25 + -0.5x + -0.75z2 + -20.25 + 0.5x + 0.75z2 Reorder the terms: -20.25 + r4 + 0.5x + 0.75z2 = 20.25 + -20.25 + -0.5x + 0.5x + -0.75z2 + 0.75z2 Combine like terms: 20.25 + -20.25 = 0.00 -20.25 + r4 + 0.5x + 0.75z2 = 0.00 + -0.5x + 0.5x + -0.75z2 + 0.75z2 -20.25 + r4 + 0.5x + 0.75z2 = -0.5x + 0.5x + -0.75z2 + 0.75z2 Combine like terms: -0.5x + 0.5x = 0.0 -20.25 + r4 + 0.5x + 0.75z2 = 0.0 + -0.75z2 + 0.75z2 -20.25 + r4 + 0.5x + 0.75z2 = -0.75z2 + 0.75z2 Combine like terms: -0.75z2 + 0.75z2 = 0.00 -20.25 + r4 + 0.5x + 0.75z2 = 0.00 The solution to this equation could not be determined.
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