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Simplifying (8r + -6s + 4t) * 7 = 0 Reorder the terms for easier multiplication: 7(8r + -6s + 4t) = 0 (8r * 7 + -6s * 7 + 4t * 7) = 0 (56r + -42s + 28t) = 0 Solving 56r + -42s + 28t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42s' to each side of the equation. 56r + -42s + 42s + 28t = 0 + 42s Combine like terms: -42s + 42s = 0 56r + 0 + 28t = 0 + 42s 56r + 28t = 0 + 42s Remove the zero: 56r + 28t = 42s Add '-28t' to each side of the equation. 56r + 28t + -28t = 42s + -28t Combine like terms: 28t + -28t = 0 56r + 0 = 42s + -28t 56r = 42s + -28t Divide each side by '56'. r = 0.75s + -0.5t Simplifying r = 0.75s + -0.5t
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