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Simplifying 5(t + 5) + 9 = 3(t + -2) + 14 Reorder the terms: 5(5 + t) + 9 = 3(t + -2) + 14 (5 * 5 + t * 5) + 9 = 3(t + -2) + 14 (25 + 5t) + 9 = 3(t + -2) + 14 Reorder the terms: 25 + 9 + 5t = 3(t + -2) + 14 Combine like terms: 25 + 9 = 34 34 + 5t = 3(t + -2) + 14 Reorder the terms: 34 + 5t = 3(-2 + t) + 14 34 + 5t = (-2 * 3 + t * 3) + 14 34 + 5t = (-6 + 3t) + 14 Reorder the terms: 34 + 5t = -6 + 14 + 3t Combine like terms: -6 + 14 = 8 34 + 5t = 8 + 3t Solving 34 + 5t = 8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 34 + 5t + -3t = 8 + 3t + -3t Combine like terms: 5t + -3t = 2t 34 + 2t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 34 + 2t = 8 + 0 34 + 2t = 8 Add '-34' to each side of the equation. 34 + -34 + 2t = 8 + -34 Combine like terms: 34 + -34 = 0 0 + 2t = 8 + -34 2t = 8 + -34 Combine like terms: 8 + -34 = -26 2t = -26 Divide each side by '2'. t = -13 Simplifying t = -13
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