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Simplifying 0.5(2t + 8) = 4 + 6t Reorder the terms: 0.5(8 + 2t) = 4 + 6t (8 * 0.5 + 2t * 0.5) = 4 + 6t (4 + 1t) = 4 + 6t Add '-4' to each side of the equation. 4 + -4 + 1t = 4 + -4 + 6t Combine like terms: 4 + -4 = 0 0 + 1t = 4 + -4 + 6t 1t = 4 + -4 + 6t Combine like terms: 4 + -4 = 0 1t = 0 + 6t 1t = 6t Solving 1t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 1t + -6t = 6t + -6t Combine like terms: 1t + -6t = -5t -5t = 6t + -6t Combine like terms: 6t + -6t = 0 -5t = 0 Divide each side by '-5'. t = 0 Simplifying t = 0
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