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Simplifying -2(5 + -1t) + -1t = 4(2t + 1) + -6 (5 * -2 + -1t * -2) + -1t = 4(2t + 1) + -6 (-10 + 2t) + -1t = 4(2t + 1) + -6 Combine like terms: 2t + -1t = 1t -10 + 1t = 4(2t + 1) + -6 Reorder the terms: -10 + 1t = 4(1 + 2t) + -6 -10 + 1t = (1 * 4 + 2t * 4) + -6 -10 + 1t = (4 + 8t) + -6 Reorder the terms: -10 + 1t = 4 + -6 + 8t Combine like terms: 4 + -6 = -2 -10 + 1t = -2 + 8t Solving -10 + 1t = -2 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -10 + 1t + -8t = -2 + 8t + -8t Combine like terms: 1t + -8t = -7t -10 + -7t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 -10 + -7t = -2 + 0 -10 + -7t = -2 Add '10' to each side of the equation. -10 + 10 + -7t = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -7t = -2 + 10 -7t = -2 + 10 Combine like terms: -2 + 10 = 8 -7t = 8 Divide each side by '-7'. t = -1.142857143 Simplifying t = -1.142857143
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