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Simplifying -5(t + -5) + 9 = 6 + -7 Reorder the terms: -5(-5 + t) + 9 = 6 + -7 (-5 * -5 + t * -5) + 9 = 6 + -7 (25 + -5t) + 9 = 6 + -7 Reorder the terms: 25 + 9 + -5t = 6 + -7 Combine like terms: 25 + 9 = 34 34 + -5t = 6 + -7 Combine like terms: 6 + -7 = -1 34 + -5t = -1 Solving 34 + -5t = -1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -5t = -1 + -34 Combine like terms: 34 + -34 = 0 0 + -5t = -1 + -34 -5t = -1 + -34 Combine like terms: -1 + -34 = -35 -5t = -35 Divide each side by '-5'. t = 7 Simplifying t = 7
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