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Simplifying 8t + 16 + -3t + -12 = 6t + -42 + 48 Reorder the terms: 16 + -12 + 8t + -3t = 6t + -42 + 48 Combine like terms: 16 + -12 = 4 4 + 8t + -3t = 6t + -42 + 48 Combine like terms: 8t + -3t = 5t 4 + 5t = 6t + -42 + 48 Reorder the terms: 4 + 5t = -42 + 48 + 6t Combine like terms: -42 + 48 = 6 4 + 5t = 6 + 6t Solving 4 + 5t = 6 + 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. 4 + 5t + -6t = 6 + 6t + -6t Combine like terms: 5t + -6t = -1t 4 + -1t = 6 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -1t = 6 + 0 4 + -1t = 6 Add '-4' to each side of the equation. 4 + -4 + -1t = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 6 + -4 -1t = 6 + -4 Combine like terms: 6 + -4 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2
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