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Simplifying -5(t + -5) + 8t = 7t + -6 Reorder the terms: -5(-5 + t) + 8t = 7t + -6 (-5 * -5 + t * -5) + 8t = 7t + -6 (25 + -5t) + 8t = 7t + -6 Combine like terms: -5t + 8t = 3t 25 + 3t = 7t + -6 Reorder the terms: 25 + 3t = -6 + 7t Solving 25 + 3t = -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. 25 + 3t + -7t = -6 + 7t + -7t Combine like terms: 3t + -7t = -4t 25 + -4t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 25 + -4t = -6 + 0 25 + -4t = -6 Add '-25' to each side of the equation. 25 + -25 + -4t = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -4t = -6 + -25 -4t = -6 + -25 Combine like terms: -6 + -25 = -31 -4t = -31 Divide each side by '-4'. t = 7.75 Simplifying t = 7.75
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