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Simplifying 0.25(8 + -4t) = 7t + 6 (8 * 0.25 + -4t * 0.25) = 7t + 6 (2 + -1t) = 7t + 6 Reorder the terms: 2 + -1t = 6 + 7t Solving 2 + -1t = 6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 2 + -1t + -7t = 6 + 7t + -7t Combine like terms: -1t + -7t = -8t 2 + -8t = 6 + 7t + -7t Combine like terms: 7t + -7t = 0 2 + -8t = 6 + 0 2 + -8t = 6 Add '-2' to each side of the equation. 2 + -2 + -8t = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -8t = 6 + -2 -8t = 6 + -2 Combine like terms: 6 + -2 = 4 -8t = 4 Divide each side by '-8'. t = -0.5 Simplifying t = -0.5
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