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Simplifying 6(t + -2) = 5(t + 3) + -1t Reorder the terms: 6(-2 + t) = 5(t + 3) + -1t (-2 * 6 + t * 6) = 5(t + 3) + -1t (-12 + 6t) = 5(t + 3) + -1t Reorder the terms: -12 + 6t = 5(3 + t) + -1t -12 + 6t = (3 * 5 + t * 5) + -1t -12 + 6t = (15 + 5t) + -1t Combine like terms: 5t + -1t = 4t -12 + 6t = 15 + 4t Solving -12 + 6t = 15 + 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 = 15 + 4t + -4t Combine like terms: 6t + -4t = 2t -12 + 2t = 15 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + 2t = 15 + 0 -12 + 2t = 15 Add '12' to each side of the equation. -12 + 12 + 2t = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 2t = 15 + 12 2t = 15 + 12 Combine like terms: 15 + 12 = 27 2t = 27 Divide each side by '2'. t = 13.5 Simplifying t = 13.5
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