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Simplifying 8t + -12 = -42 + 2t Reorder the terms: -12 + 8t = -42 + 2t Solving -12 + 8t = -42 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -12 + 8t + -2t = -42 + 2t + -2t Combine like terms: 8t + -2t = 6t -12 + 6t = -42 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 6t = -42 + 0 -12 + 6t = -42 Add '12' to each side of the equation. -12 + 12 + 6t = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 6t = -42 + 12 6t = -42 + 12 Combine like terms: -42 + 12 = -30 6t = -30 Divide each side by '6'. t = -5 Simplifying t = -5
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