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Simplifying 0.5t + -3 = 3(4 + -1.5t) Reorder the terms: -3 + 0.5t = 3(4 + -1.5t) -3 + 0.5t = (4 * 3 + -1.5t * 3) -3 + 0.5t = (12 + -4.5t) Solving -3 + 0.5t = 12 + -4.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.5t' to each side of the equation. -3 + 0.5t + 4.5t = 12 + -4.5t + 4.5t Combine like terms: 0.5t + 4.5t = 5t -3 + 5t = 12 + -4.5t + 4.5t Combine like terms: -4.5t + 4.5t = 0.0 -3 + 5t = 12 + 0.0 -3 + 5t = 12 Add '3' to each side of the equation. -3 + 3 + 5t = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5t = 12 + 3 5t = 12 + 3 Combine like terms: 12 + 3 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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