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Simplifying 5y + -6t + 7r + 8r + -9t + y = 0 Reorder the terms: 7r + 8r + -6t + -9t + 5y + y = 0 Combine like terms: 7r + 8r = 15r 15r + -6t + -9t + 5y + y = 0 Combine like terms: -6t + -9t = -15t 15r + -15t + 5y + y = 0 Combine like terms: 5y + y = 6y 15r + -15t + 6y = 0 Solving 15r + -15t + 6y = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15t' to each side of the equation. 15r + -15t + 15t + 6y = 0 + 15t Combine like terms: -15t + 15t = 0 15r + 0 + 6y = 0 + 15t 15r + 6y = 0 + 15t Remove the zero: 15r + 6y = 15t Add '-6y' to each side of the equation. 15r + 6y + -6y = 15t + -6y Combine like terms: 6y + -6y = 0 15r + 0 = 15t + -6y 15r = 15t + -6y Divide each side by '15'. r = t + -0.4y Simplifying r = t + -0.4y
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