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Simplifying 6(2 + -1t) = 2(7 + -2t) + -28 (2 * 6 + -1t * 6) = 2(7 + -2t) + -28 (12 + -6t) = 2(7 + -2t) + -28 12 + -6t = (7 * 2 + -2t * 2) + -28 12 + -6t = (14 + -4t) + -28 Reorder the terms: 12 + -6t = 14 + -28 + -4t Combine like terms: 14 + -28 = -14 12 + -6t = -14 + -4t Solving 12 + -6t = -14 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 12 + -6t + 4t = -14 + -4t + 4t Combine like terms: -6t + 4t = -2t 12 + -2t = -14 + -4t + 4t Combine like terms: -4t + 4t = 0 12 + -2t = -14 + 0 12 + -2t = -14 Add '-12' to each side of the equation. 12 + -12 + -2t = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -14 + -12 -2t = -14 + -12 Combine like terms: -14 + -12 = -26 -2t = -26 Divide each side by '-2'. t = 13 Simplifying t = 13
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