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Simplifying t + -3(4 + -2t) = 23 t + (4 * -3 + -2t * -3) = 23 t + (-12 + 6t) = 23 Reorder the terms: -12 + t + 6t = 23 Combine like terms: t + 6t = 7t -12 + 7t = 23 Solving -12 + 7t = 23 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7t = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 7t = 23 + 12 7t = 23 + 12 Combine like terms: 23 + 12 = 35 7t = 35 Divide each side by '7'. t = 5 Simplifying t = 5
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