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Simplifying 3(0.9 + -1) = -5(16.5 + 4t) Combine like terms: 0.9 + -1 = -0.1 3(-0.1) = -5(16.5 + 4t) Multiply 3 * -0.1 -0.3 = -5(16.5 + 4t) -0.3 = (16.5 * -5 + 4t * -5) -0.3 = (-82.5 + -20t) Solving -0.3 = -82.5 + -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. -0.3 + 20t = -82.5 + -20t + 20t Combine like terms: -20t + 20t = 0 -0.3 + 20t = -82.5 + 0 -0.3 + 20t = -82.5 Add '0.3' to each side of the equation. -0.3 + 0.3 + 20t = -82.5 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 20t = -82.5 + 0.3 20t = -82.5 + 0.3 Combine like terms: -82.5 + 0.3 = -82.2 20t = -82.2 Divide each side by '20'. t = -4.11 Simplifying t = -4.11
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