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Simplifying 6r + -1(-2r + -27) = 21 Reorder the terms: 6r + -1(-27 + -2r) = 21 6r + (-27 * -1 + -2r * -1) = 21 6r + (27 + 2r) = 21 Reorder the terms: 27 + 6r + 2r = 21 Combine like terms: 6r + 2r = 8r 27 + 8r = 21 Solving 27 + 8r = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8r = 21 + -27 Combine like terms: 27 + -27 = 0 0 + 8r = 21 + -27 8r = 21 + -27 Combine like terms: 21 + -27 = -6 8r = -6 Divide each side by '8'. r = -0.75 Simplifying r = -0.75
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