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Simplifying -20 + t = -8(-1t + -2) + -1 Reorder the terms: -20 + t = -8(-2 + -1t) + -1 -20 + t = (-2 * -8 + -1t * -8) + -1 -20 + t = (16 + 8t) + -1 Reorder the terms: -20 + t = 16 + -1 + 8t Combine like terms: 16 + -1 = 15 -20 + t = 15 + 8t Solving -20 + t = 15 + 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. -20 + t + -8t = 15 + 8t + -8t Combine like terms: t + -8t = -7t -20 + -7t = 15 + 8t + -8t Combine like terms: 8t + -8t = 0 -20 + -7t = 15 + 0 -20 + -7t = 15 Add '20' to each side of the equation. -20 + 20 + -7t = 15 + 20 Combine like terms: -20 + 20 = 0 0 + -7t = 15 + 20 -7t = 15 + 20 Combine like terms: 15 + 20 = 35 -7t = 35 Divide each side by '-7'. t = -5 Simplifying t = -5
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