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Simplifying (2r + -3s + 9t) * 7 = 0 Reorder the terms for easier multiplication: 7(2r + -3s + 9t) = 0 (2r * 7 + -3s * 7 + 9t * 7) = 0 (14r + -21s + 63t) = 0 Solving 14r + -21s + 63t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21s' to each side of the equation. 14r + -21s + 21s + 63t = 0 + 21s Combine like terms: -21s + 21s = 0 14r + 0 + 63t = 0 + 21s 14r + 63t = 0 + 21s Remove the zero: 14r + 63t = 21s Add '-63t' to each side of the equation. 14r + 63t + -63t = 21s + -63t Combine like terms: 63t + -63t = 0 14r + 0 = 21s + -63t 14r = 21s + -63t Divide each side by '14'. r = 1.5s + -4.5t Simplifying r = 1.5s + -4.5t
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