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Simplifying (2.5z + 5.2r + -1.3x) + (1.5z + -3.6r + 7.2x) = 0 Reorder the terms: (5.2r + -1.3x + 2.5z) + (1.5z + -3.6r + 7.2x) = 0 Remove parenthesis around (5.2r + -1.3x + 2.5z) 5.2r + -1.3x + 2.5z + (1.5z + -3.6r + 7.2x) = 0 Reorder the terms: 5.2r + -1.3x + 2.5z + (-3.6r + 7.2x + 1.5z) = 0 Remove parenthesis around (-3.6r + 7.2x + 1.5z) 5.2r + -1.3x + 2.5z + -3.6r + 7.2x + 1.5z = 0 Reorder the terms: 5.2r + -3.6r + -1.3x + 7.2x + 2.5z + 1.5z = 0 Combine like terms: 5.2r + -3.6r = 1.6r 1.6r + -1.3x + 7.2x + 2.5z + 1.5z = 0 Combine like terms: -1.3x + 7.2x = 5.9x 1.6r + 5.9x + 2.5z + 1.5z = 0 Combine like terms: 2.5z + 1.5z = 4z 1.6r + 5.9x + 4z = 0 Solving 1.6r + 5.9x + 4z = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.9x' to each side of the equation. 1.6r + 5.9x + -5.9x + 4z = 0 + -5.9x Combine like terms: 5.9x + -5.9x = 0.0 1.6r + 0.0 + 4z = 0 + -5.9x 1.6r + 4z = 0 + -5.9x Remove the zero: 1.6r + 4z = -5.9x Add '-4z' to each side of the equation. 1.6r + 4z + -4z = -5.9x + -4z Combine like terms: 4z + -4z = 0 1.6r + 0 = -5.9x + -4z 1.6r = -5.9x + -4z Divide each side by '1.6'. r = -3.6875x + -2.5z Simplifying r = -3.6875x + -2.5z
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