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Simplifying -5(t + -5) + 7t = 4t + -6 Reorder the terms: -5(-5 + t) + 7t = 4t + -6 (-5 * -5 + t * -5) + 7t = 4t + -6 (25 + -5t) + 7t = 4t + -6 Combine like terms: -5t + 7t = 2t 25 + 2t = 4t + -6 Reorder the terms: 25 + 2t = -6 + 4t Solving 25 + 2t = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 25 + 2t + -4t = -6 + 4t + -4t Combine like terms: 2t + -4t = -2t 25 + -2t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 25 + -2t = -6 + 0 25 + -2t = -6 Add '-25' to each side of the equation. 25 + -25 + -2t = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -2t = -6 + -25 -2t = -6 + -25 Combine like terms: -6 + -25 = -31 -2t = -31 Divide each side by '-2'. t = 15.5 Simplifying t = 15.5
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