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Simplifying (3r + -7s + 8t) * 5 = 0 Reorder the terms for easier multiplication: 5(3r + -7s + 8t) = 0 (3r * 5 + -7s * 5 + 8t * 5) = 0 (15r + -35s + 40t) = 0 Solving 15r + -35s + 40t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35s' to each side of the equation. 15r + -35s + 35s + 40t = 0 + 35s Combine like terms: -35s + 35s = 0 15r + 0 + 40t = 0 + 35s 15r + 40t = 0 + 35s Remove the zero: 15r + 40t = 35s Add '-40t' to each side of the equation. 15r + 40t + -40t = 35s + -40t Combine like terms: 40t + -40t = 0 15r + 0 = 35s + -40t 15r = 35s + -40t Divide each side by '15'. r = 2.333333333s + -2.666666667t Simplifying r = 2.333333333s + -2.666666667t
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