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Simplifying -2(1 + -6r) + -4(r + 4) = -50 (1 * -2 + -6r * -2) + -4(r + 4) = -50 (-2 + 12r) + -4(r + 4) = -50 Reorder the terms: -2 + 12r + -4(4 + r) = -50 -2 + 12r + (4 * -4 + r * -4) = -50 -2 + 12r + (-16 + -4r) = -50 Reorder the terms: -2 + -16 + 12r + -4r = -50 Combine like terms: -2 + -16 = -18 -18 + 12r + -4r = -50 Combine like terms: 12r + -4r = 8r -18 + 8r = -50 Solving -18 + 8r = -50 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8r = -50 + 18 Combine like terms: -18 + 18 = 0 0 + 8r = -50 + 18 8r = -50 + 18 Combine like terms: -50 + 18 = -32 8r = -32 Divide each side by '8'. r = -4 Simplifying r = -4
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