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Simplifying -5(t + -5) + 7t = 6t + -7 Reorder the terms: -5(-5 + t) + 7t = 6t + -7 (-5 * -5 + t * -5) + 7t = 6t + -7 (25 + -5t) + 7t = 6t + -7 Combine like terms: -5t + 7t = 2t 25 + 2t = 6t + -7 Reorder the terms: 25 + 2t = -7 + 6t Solving 25 + 2t = -7 + 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. 25 + 2t + -6t = -7 + 6t + -6t Combine like terms: 2t + -6t = -4t 25 + -4t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 25 + -4t = -7 + 0 25 + -4t = -7 Add '-25' to each side of the equation. 25 + -25 + -4t = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -4t = -7 + -25 -4t = -7 + -25 Combine like terms: -7 + -25 = -32 -4t = -32 Divide each side by '-4'. t = 8 Simplifying t = 8
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