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Simplifying 0.3t + -5 = 0.5t + 1 Reorder the terms: -5 + 0.3t = 0.5t + 1 Reorder the terms: -5 + 0.3t = 1 + 0.5t Solving -5 + 0.3t = 1 + 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 + 0.5t + -0.5t Combine like terms: 0.3t + -0.5t = -0.2t -5 + -0.2t = 1 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 -5 + -0.2t = 1 + 0.0 -5 + -0.2t = 1 Add '5' to each side of the equation. -5 + 5 + -0.2t = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -0.2t = 1 + 5 -0.2t = 1 + 5 Combine like terms: 1 + 5 = 6 -0.2t = 6 Divide each side by '-0.2'. t = -30 Simplifying t = -30
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