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Simplifying -4(t + -5) + 7t = 8t + -8 Reorder the terms: -4(-5 + t) + 7t = 8t + -8 (-5 * -4 + t * -4) + 7t = 8t + -8 (20 + -4t) + 7t = 8t + -8 Combine like terms: -4t + 7t = 3t 20 + 3t = 8t + -8 Reorder the terms: 20 + 3t = -8 + 8t Solving 20 + 3t = -8 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 20 + 3t + -8t = -8 + 8t + -8t Combine like terms: 3t + -8t = -5t 20 + -5t = -8 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -5t = -8 + 0 20 + -5t = -8 Add '-20' to each side of the equation. 20 + -20 + -5t = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -5t = -8 + -20 -5t = -8 + -20 Combine like terms: -8 + -20 = -28 -5t = -28 Divide each side by '-5'. t = 5.6 Simplifying t = 5.6
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