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Simplifying -1(1 + 6r) + -3(3 + 2r) = 0 (1 * -1 + 6r * -1) + -3(3 + 2r) = 0 (-1 + -6r) + -3(3 + 2r) = 0 -1 + -6r + (3 * -3 + 2r * -3) = 0 -1 + -6r + (-9 + -6r) = 0 Reorder the terms: -1 + -9 + -6r + -6r = 0 Combine like terms: -1 + -9 = -10 -10 + -6r + -6r = 0 Combine like terms: -6r + -6r = -12r -10 + -12r = 0 Solving -10 + -12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -12r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -12r = 0 + 10 -12r = 0 + 10 Combine like terms: 0 + 10 = 10 -12r = 10 Divide each side by '-12'. r = -0.8333333333 Simplifying r = -0.8333333333
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