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Simplifying 0.7t + -1.2 + 0.5t = 2(0.2t + 0.3) Reorder the terms: -1.2 + 0.7t + 0.5t = 2(0.2t + 0.3) Combine like terms: 0.7t + 0.5t = 1.2t -1.2 + 1.2t = 2(0.2t + 0.3) Reorder the terms: -1.2 + 1.2t = 2(0.3 + 0.2t) -1.2 + 1.2t = (0.3 * 2 + 0.2t * 2) -1.2 + 1.2t = (0.6 + 0.4t) Solving -1.2 + 1.2t = 0.6 + 0.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4t' to each side of the equation. -1.2 + 1.2t + -0.4t = 0.6 + 0.4t + -0.4t Combine like terms: 1.2t + -0.4t = 0.8t -1.2 + 0.8t = 0.6 + 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 -1.2 + 0.8t = 0.6 + 0.0 -1.2 + 0.8t = 0.6 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.8t = 0.6 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.8t = 0.6 + 1.2 0.8t = 0.6 + 1.2 Combine like terms: 0.6 + 1.2 = 1.8 0.8t = 1.8 Divide each side by '0.8'. t = 2.25 Simplifying t = 2.25
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