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Simplifying 3(0.9 + -1t) = -5(16 + 3t) (0.9 * 3 + -1t * 3) = -5(16 + 3t) (2.7 + -3t) = -5(16 + 3t) 2.7 + -3t = (16 * -5 + 3t * -5) 2.7 + -3t = (-80 + -15t) Solving 2.7 + -3t = -80 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. 2.7 + -3t + 15t = -80 + -15t + 15t Combine like terms: -3t + 15t = 12t 2.7 + 12t = -80 + -15t + 15t Combine like terms: -15t + 15t = 0 2.7 + 12t = -80 + 0 2.7 + 12t = -80 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 12t = -80 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 12t = -80 + -2.7 12t = -80 + -2.7 Combine like terms: -80 + -2.7 = -82.7 12t = -82.7 Divide each side by '12'. t = -6.891666667 Simplifying t = -6.891666667
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