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Simplifying -1(6r + -12s) + -1(6r + 12s + -4) = 0 (6r * -1 + -12s * -1) + -1(6r + 12s + -4) = 0 (-6r + 12s) + -1(6r + 12s + -4) = 0 Reorder the terms: -6r + 12s + -1(-4 + 6r + 12s) = 0 -6r + 12s + (-4 * -1 + 6r * -1 + 12s * -1) = 0 -6r + 12s + (4 + -6r + -12s) = 0 Reorder the terms: 4 + -6r + -6r + 12s + -12s = 0 Combine like terms: -6r + -6r = -12r 4 + -12r + 12s + -12s = 0 Combine like terms: 12s + -12s = 0 4 + -12r + 0 = 0 4 + -12r = 0 Solving 4 + -12r = 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 + -4 + -12r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12r = 0 + -4 -12r = 0 + -4 Combine like terms: 0 + -4 = -4 -12r = -4 Divide each side by '-12'. r = 0.3333333333 Simplifying r = 0.3333333333
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