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Simplifying 6t + -2[7(t + 1) + 4] = 10t Reorder the terms: 6t + -2[7(1 + t) + 4] = 10t 6t + -2[(1 * 7 + t * 7) + 4] = 10t 6t + -2[(7 + 7t) + 4] = 10t Reorder the terms: 6t + -2[7 + 4 + 7t] = 10t Combine like terms: 7 + 4 = 11 6t + -2[11 + 7t] = 10t 6t + [11 * -2 + 7t * -2] = 10t 6t + [-22 + -14t] = 10t Reorder the terms: -22 + 6t + -14t = 10t Combine like terms: 6t + -14t = -8t -22 + -8t = 10t Solving -22 + -8t = 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -22 + -8t + -10t = 10t + -10t Combine like terms: -8t + -10t = -18t -22 + -18t = 10t + -10t Combine like terms: 10t + -10t = 0 -22 + -18t = 0 Add '22' to each side of the equation. -22 + 22 + -18t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -18t = 0 + 22 -18t = 0 + 22 Combine like terms: 0 + 22 = 22 -18t = 22 Divide each side by '-18'. t = -1.222222222 Simplifying t = -1.222222222
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