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Simplifying 3(0.9) + -1t = -5(16.5 + 3t) Multiply 3 * 0.9 2.7 + -1t = -5(16.5 + 3t) 2.7 + -1t = (16.5 * -5 + 3t * -5) 2.7 + -1t = (-82.5 + -15t) Solving 2.7 + -1t = -82.5 + -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 + -1t + 15t = -82.5 + -15t + 15t Combine like terms: -1t + 15t = 14t 2.7 + 14t = -82.5 + -15t + 15t Combine like terms: -15t + 15t = 0 2.7 + 14t = -82.5 + 0 2.7 + 14t = -82.5 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 14t = -82.5 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 14t = -82.5 + -2.7 14t = -82.5 + -2.7 Combine like terms: -82.5 + -2.7 = -85.2 14t = -85.2 Divide each side by '14'. t = -6.085714286 Simplifying t = -6.085714286
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