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Simplifying 7 + 3t = (6 + -1t) * 2 Reorder the terms for easier multiplication: 7 + 3t = 2(6 + -1t) 7 + 3t = (6 * 2 + -1t * 2) 7 + 3t = (12 + -2t) Solving 7 + 3t = 12 + -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. 7 + 3t + 2t = 12 + -2t + 2t Combine like terms: 3t + 2t = 5t 7 + 5t = 12 + -2t + 2t Combine like terms: -2t + 2t = 0 7 + 5t = 12 + 0 7 + 5t = 12 Add '-7' to each side of the equation. 7 + -7 + 5t = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5t = 12 + -7 5t = 12 + -7 Combine like terms: 12 + -7 = 5 5t = 5 Divide each side by '5'. t = 1 Simplifying t = 1
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