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Simplifying t + 5 + 1t = 3(2t + -9) Reorder the terms: 5 + t + 1t = 3(2t + -9) Combine like terms: t + 1t = 2t 5 + 2t = 3(2t + -9) Reorder the terms: 5 + 2t = 3(-9 + 2t) 5 + 2t = (-9 * 3 + 2t * 3) 5 + 2t = (-27 + 6t) Solving 5 + 2t = -27 + 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. 5 + 2t + -6t = -27 + 6t + -6t Combine like terms: 2t + -6t = -4t 5 + -4t = -27 + 6t + -6t Combine like terms: 6t + -6t = 0 5 + -4t = -27 + 0 5 + -4t = -27 Add '-5' to each side of the equation. 5 + -5 + -4t = -27 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = -27 + -5 -4t = -27 + -5 Combine like terms: -27 + -5 = -32 -4t = -32 Divide each side by '-4'. t = 8 Simplifying t = 8
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