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Simplifying 5 + -0.3t = 2.1 + 0.5(t + -1) Reorder the terms: 5 + -0.3t = 2.1 + 0.5(-1 + t) 5 + -0.3t = 2.1 + (-1 * 0.5 + t * 0.5) 5 + -0.3t = 2.1 + (-0.5 + 0.5t) Combine like terms: 2.1 + -0.5 = 1.6 5 + -0.3t = 1.6 + 0.5t Solving 5 + -0.3t = 1.6 + 0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5t' to each side of the equation. 5 + -0.3t + -0.5t = 1.6 + 0.5t + -0.5t Combine like terms: -0.3t + -0.5t = -0.8t 5 + -0.8t = 1.6 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 5 + -0.8t = 1.6 + 0.0 5 + -0.8t = 1.6 Add '-5' to each side of the equation. 5 + -5 + -0.8t = 1.6 + -5 Combine like terms: 5 + -5 = 0 0 + -0.8t = 1.6 + -5 -0.8t = 1.6 + -5 Combine like terms: 1.6 + -5 = -3.4 -0.8t = -3.4 Divide each side by '-0.8'. t = 4.25 Simplifying t = 4.25
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