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Simplifying 4 + 3(2r + 2s) + 3r = 0 4 + (2r * 3 + 2s * 3) + 3r = 0 4 + (6r + 6s) + 3r = 0 Reorder the terms: 4 + 6r + 3r + 6s = 0 Combine like terms: 6r + 3r = 9r 4 + 9r + 6s = 0 Solving 4 + 9r + 6s = 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 + 9r + -4 + 6s = 0 + -4 Reorder the terms: 4 + -4 + 9r + 6s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9r + 6s = 0 + -4 9r + 6s = 0 + -4 Combine like terms: 0 + -4 = -4 9r + 6s = -4 Add '-6s' to each side of the equation. 9r + 6s + -6s = -4 + -6s Combine like terms: 6s + -6s = 0 9r + 0 = -4 + -6s 9r = -4 + -6s Divide each side by '9'. r = -0.4444444444 + -0.6666666667s Simplifying r = -0.4444444444 + -0.6666666667s
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