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Simplifying 6[t + -5] = 2[t + 5] Reorder the terms: 6[-5 + t] = 2[t + 5] [-5 * 6 + t * 6] = 2[t + 5] [-30 + 6t] = 2[t + 5] Reorder the terms: -30 + 6t = 2[5 + t] -30 + 6t = [5 * 2 + t * 2] -30 + 6t = [10 + 2t] Solving -30 + 6t = 10 + 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. -30 + 6t + -2t = 10 + 2t + -2t Combine like terms: 6t + -2t = 4t -30 + 4t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 -30 + 4t = 10 + 0 -30 + 4t = 10 Add '30' to each side of the equation. -30 + 30 + 4t = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 4t = 10 + 30 4t = 10 + 30 Combine like terms: 10 + 30 = 40 4t = 40 Divide each side by '4'. t = 10 Simplifying t = 10
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