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Simplifying 4(2s + 3r + 1) = 0 Reorder the terms: 4(1 + 3r + 2s) = 0 (1 * 4 + 3r * 4 + 2s * 4) = 0 (4 + 12r + 8s) = 0 Solving 4 + 12r + 8s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 12r + -4 + 8s = 0 + -4 Reorder the terms: 4 + -4 + 12r + 8s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12r + 8s = 0 + -4 12r + 8s = 0 + -4 Combine like terms: 0 + -4 = -4 12r + 8s = -4 Add '-8s' to each side of the equation. 12r + 8s + -8s = -4 + -8s Combine like terms: 8s + -8s = 0 12r + 0 = -4 + -8s 12r = -4 + -8s Divide each side by '12'. r = -0.3333333333 + -0.6666666667s Simplifying r = -0.3333333333 + -0.6666666667s
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