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Simplifying 7(2r + 6) + -12r = 0 Reorder the terms: 7(6 + 2r) + -12r = 0 (6 * 7 + 2r * 7) + -12r = 0 (42 + 14r) + -12r = 0 Combine like terms: 14r + -12r = 2r 42 + 2r = 0 Solving 42 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 2r = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 2r = 0 + -42 2r = 0 + -42 Combine like terms: 0 + -42 = -42 2r = -42 Divide each side by '2'. r = -21 Simplifying r = -21
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