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Simplifying 6(t + 2) + -1t = 7t + -3 Reorder the terms: 6(2 + t) + -1t = 7t + -3 (2 * 6 + t * 6) + -1t = 7t + -3 (12 + 6t) + -1t = 7t + -3 Combine like terms: 6t + -1t = 5t 12 + 5t = 7t + -3 Reorder the terms: 12 + 5t = -3 + 7t Solving 12 + 5t = -3 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 12 + 5t + -7t = -3 + 7t + -7t Combine like terms: 5t + -7t = -2t 12 + -2t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 12 + -2t = -3 + 0 12 + -2t = -3 Add '-12' to each side of the equation. 12 + -12 + -2t = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -3 + -12 -2t = -3 + -12 Combine like terms: -3 + -12 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5
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