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Simplifying 11(t + -2) + 7 = 6(3t + 4) + -10 Reorder the terms: 11(-2 + t) + 7 = 6(3t + 4) + -10 (-2 * 11 + t * 11) + 7 = 6(3t + 4) + -10 (-22 + 11t) + 7 = 6(3t + 4) + -10 Reorder the terms: -22 + 7 + 11t = 6(3t + 4) + -10 Combine like terms: -22 + 7 = -15 -15 + 11t = 6(3t + 4) + -10 Reorder the terms: -15 + 11t = 6(4 + 3t) + -10 -15 + 11t = (4 * 6 + 3t * 6) + -10 -15 + 11t = (24 + 18t) + -10 Reorder the terms: -15 + 11t = 24 + -10 + 18t Combine like terms: 24 + -10 = 14 -15 + 11t = 14 + 18t Solving -15 + 11t = 14 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -15 + 11t + -18t = 14 + 18t + -18t Combine like terms: 11t + -18t = -7t -15 + -7t = 14 + 18t + -18t Combine like terms: 18t + -18t = 0 -15 + -7t = 14 + 0 -15 + -7t = 14 Add '15' to each side of the equation. -15 + 15 + -7t = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -7t = 14 + 15 -7t = 14 + 15 Combine like terms: 14 + 15 = 29 -7t = 29 Divide each side by '-7'. t = -4.142857143 Simplifying t = -4.142857143
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