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Simplifying 21 + -6r = -6(1 + 6r) + 3r 21 + -6r = (1 * -6 + 6r * -6) + 3r 21 + -6r = (-6 + -36r) + 3r Combine like terms: -36r + 3r = -33r 21 + -6r = -6 + -33r Solving 21 + -6r = -6 + -33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '33r' to each side of the equation. 21 + -6r + 33r = -6 + -33r + 33r Combine like terms: -6r + 33r = 27r 21 + 27r = -6 + -33r + 33r Combine like terms: -33r + 33r = 0 21 + 27r = -6 + 0 21 + 27r = -6 Add '-21' to each side of the equation. 21 + -21 + 27r = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 27r = -6 + -21 27r = -6 + -21 Combine like terms: -6 + -21 = -27 27r = -27 Divide each side by '27'. r = -1 Simplifying r = -1
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