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Simplifying -1.4 + -2.1t = 7t + -1(9.5t + 0.4) Reorder the terms: -1.4 + -2.1t = 7t + -1(0.4 + 9.5t) -1.4 + -2.1t = 7t + (0.4 * -1 + 9.5t * -1) -1.4 + -2.1t = 7t + (-0.4 + -9.5t) Reorder the terms: -1.4 + -2.1t = -0.4 + 7t + -9.5t Combine like terms: 7t + -9.5t = -2.5t -1.4 + -2.1t = -0.4 + -2.5t Solving -1.4 + -2.1t = -0.4 + -2.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5t' to each side of the equation. -1.4 + -2.1t + 2.5t = -0.4 + -2.5t + 2.5t Combine like terms: -2.1t + 2.5t = 0.4t -1.4 + 0.4t = -0.4 + -2.5t + 2.5t Combine like terms: -2.5t + 2.5t = 0.0 -1.4 + 0.4t = -0.4 + 0.0 -1.4 + 0.4t = -0.4 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.4t = -0.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.4t = -0.4 + 1.4 0.4t = -0.4 + 1.4 Combine like terms: -0.4 + 1.4 = 1 0.4t = 1 Divide each side by '0.4'. t = 2.5 Simplifying t = 2.5
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