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Simplifying 0.3t + 1.4 = 4.2 + -0.1t Reorder the terms: 1.4 + 0.3t = 4.2 + -0.1t Solving 1.4 + 0.3t = 4.2 + -0.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.1t' to each side of the equation. 1.4 + 0.3t + 0.1t = 4.2 + -0.1t + 0.1t Combine like terms: 0.3t + 0.1t = 0.4t 1.4 + 0.4t = 4.2 + -0.1t + 0.1t Combine like terms: -0.1t + 0.1t = 0.0 1.4 + 0.4t = 4.2 + 0.0 1.4 + 0.4t = 4.2 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.4t = 4.2 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.4t = 4.2 + -1.4 0.4t = 4.2 + -1.4 Combine like terms: 4.2 + -1.4 = 2.8 0.4t = 2.8 Divide each side by '0.4'. t = 7 Simplifying t = 7
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