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Simplifying 6r + -21 = 3(3 + 7r) Reorder the terms: -21 + 6r = 3(3 + 7r) -21 + 6r = (3 * 3 + 7r * 3) -21 + 6r = (9 + 21r) Solving -21 + 6r = 9 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -21 + 6r + -21r = 9 + 21r + -21r Combine like terms: 6r + -21r = -15r -21 + -15r = 9 + 21r + -21r Combine like terms: 21r + -21r = 0 -21 + -15r = 9 + 0 -21 + -15r = 9 Add '21' to each side of the equation. -21 + 21 + -15r = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -15r = 9 + 21 -15r = 9 + 21 Combine like terms: 9 + 21 = 30 -15r = 30 Divide each side by '-15'. r = -2 Simplifying r = -2
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