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Simplifying 8t + 16 + -3t + 12 = 6t + -4 Reorder the terms: 16 + 12 + 8t + -3t = 6t + -4 Combine like terms: 16 + 12 = 28 28 + 8t + -3t = 6t + -4 Combine like terms: 8t + -3t = 5t 28 + 5t = 6t + -4 Reorder the terms: 28 + 5t = -4 + 6t Solving 28 + 5t = -4 + 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. 28 + 5t + -6t = -4 + 6t + -6t Combine like terms: 5t + -6t = -1t 28 + -1t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 28 + -1t = -4 + 0 28 + -1t = -4 Add '-28' to each side of the equation. 28 + -28 + -1t = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -1t = -4 + -28 -1t = -4 + -28 Combine like terms: -4 + -28 = -32 -1t = -32 Divide each side by '-1'. t = 32 Simplifying t = 32
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