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Simplifying 3(-7r + 7) = -24 + -6r Reorder the terms: 3(7 + -7r) = -24 + -6r (7 * 3 + -7r * 3) = -24 + -6r (21 + -21r) = -24 + -6r Solving 21 + -21r = -24 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 21 + -21r + 6r = -24 + -6r + 6r Combine like terms: -21r + 6r = -15r 21 + -15r = -24 + -6r + 6r Combine like terms: -6r + 6r = 0 21 + -15r = -24 + 0 21 + -15r = -24 Add '-21' to each side of the equation. 21 + -21 + -15r = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -15r = -24 + -21 -15r = -24 + -21 Combine like terms: -24 + -21 = -45 -15r = -45 Divide each side by '-15'. r = 3 Simplifying r = 3
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