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Simplifying -15.4 + -3.5t = -1(9.5t + 0.4) Reorder the terms: -15.4 + -3.5t = -1(0.4 + 9.5t) -15.4 + -3.5t = (0.4 * -1 + 9.5t * -1) -15.4 + -3.5t = (-0.4 + -9.5t) Solving -15.4 + -3.5t = -0.4 + -9.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9.5t' to each side of the equation. -15.4 + -3.5t + 9.5t = -0.4 + -9.5t + 9.5t Combine like terms: -3.5t + 9.5t = 6t -15.4 + 6t = -0.4 + -9.5t + 9.5t Combine like terms: -9.5t + 9.5t = 0.0 -15.4 + 6t = -0.4 + 0.0 -15.4 + 6t = -0.4 Add '15.4' to each side of the equation. -15.4 + 15.4 + 6t = -0.4 + 15.4 Combine like terms: -15.4 + 15.4 = 0.0 0.0 + 6t = -0.4 + 15.4 6t = -0.4 + 15.4 Combine like terms: -0.4 + 15.4 = 15 6t = 15 Divide each side by '6'. t = 2.5 Simplifying t = 2.5
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