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Simplifying -5(16.5 + 3t) = 3(0.9 + -1t) (16.5 * -5 + 3t * -5) = 3(0.9 + -1t) (-82.5 + -15t) = 3(0.9 + -1t) -82.5 + -15t = (0.9 * 3 + -1t * 3) -82.5 + -15t = (2.7 + -3t) Solving -82.5 + -15t = 2.7 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -82.5 + -15t + 3t = 2.7 + -3t + 3t Combine like terms: -15t + 3t = -12t -82.5 + -12t = 2.7 + -3t + 3t Combine like terms: -3t + 3t = 0 -82.5 + -12t = 2.7 + 0 -82.5 + -12t = 2.7 Add '82.5' to each side of the equation. -82.5 + 82.5 + -12t = 2.7 + 82.5 Combine like terms: -82.5 + 82.5 = 0.0 0.0 + -12t = 2.7 + 82.5 -12t = 2.7 + 82.5 Combine like terms: 2.7 + 82.5 = 85.2 -12t = 85.2 Divide each side by '-12'. t = -7.1 Simplifying t = -7.1
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