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Simplifying 4t + 8(1.5 + -1t) = 1.5 4t + (1.5 * 8 + -1t * 8) = 1.5 4t + (12 + -8t) = 1.5 Reorder the terms: 12 + 4t + -8t = 1.5 Combine like terms: 4t + -8t = -4t 12 + -4t = 1.5 Solving 12 + -4t = 1.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4t = 1.5 + -12 Combine like terms: 12 + -12 = 0 0 + -4t = 1.5 + -12 -4t = 1.5 + -12 Combine like terms: 1.5 + -12 = -10.5 -4t = -10.5 Divide each side by '-4'. t = 2.625 Simplifying t = 2.625
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