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Simplifying (2r + -8s + 6t) * 7 = 0 Reorder the terms for easier multiplication: 7(2r + -8s + 6t) = 0 (2r * 7 + -8s * 7 + 6t * 7) = 0 (14r + -56s + 42t) = 0 Solving 14r + -56s + 42t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '56s' to each side of the equation. 14r + -56s + 56s + 42t = 0 + 56s Combine like terms: -56s + 56s = 0 14r + 0 + 42t = 0 + 56s 14r + 42t = 0 + 56s Remove the zero: 14r + 42t = 56s Add '-42t' to each side of the equation. 14r + 42t + -42t = 56s + -42t Combine like terms: 42t + -42t = 0 14r + 0 = 56s + -42t 14r = 56s + -42t Divide each side by '14'. r = 4s + -3t Simplifying r = 4s + -3t
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