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Simplifying 8 = 23 + 3(2t + -5) Reorder the terms: 8 = 23 + 3(-5 + 2t) 8 = 23 + (-5 * 3 + 2t * 3) 8 = 23 + (-15 + 6t) Combine like terms: 23 + -15 = 8 8 = 8 + 6t Add '-8' to each side of the equation. 8 + -8 = 8 + -8 + 6t Combine like terms: 8 + -8 = 0 0 = 8 + -8 + 6t Combine like terms: 8 + -8 = 0 0 = 0 + 6t 0 = 6t Solving 0 = 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. 0 + -6t = 6t + -6t Remove the zero: -6t = 6t + -6t Combine like terms: 6t + -6t = 0 -6t = 0 Divide each side by '-6'. t = 0 Simplifying t = 0
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