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Simplifying 4(0.5t + 2) = 2(x + -8) + -0.5x Reorder the terms: 4(2 + 0.5t) = 2(x + -8) + -0.5x (2 * 4 + 0.5t * 4) = 2(x + -8) + -0.5x (8 + 2t) = 2(x + -8) + -0.5x Reorder the terms: 8 + 2t = 2(-8 + x) + -0.5x 8 + 2t = (-8 * 2 + x * 2) + -0.5x 8 + 2t = (-16 + 2x) + -0.5x Combine like terms: 2x + -0.5x = 1.5x 8 + 2t = -16 + 1.5x Solving 8 + 2t = -16 + 1.5x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2t = -16 + -8 + 1.5x Combine like terms: 8 + -8 = 0 0 + 2t = -16 + -8 + 1.5x 2t = -16 + -8 + 1.5x Combine like terms: -16 + -8 = -24 2t = -24 + 1.5x Divide each side by '2'. t = -12 + 0.75x Simplifying t = -12 + 0.75x
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