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Simplifying -8(t + 20) + 14 = -7t + 2 Reorder the terms: -8(20 + t) + 14 = -7t + 2 (20 * -8 + t * -8) + 14 = -7t + 2 (-160 + -8t) + 14 = -7t + 2 Reorder the terms: -160 + 14 + -8t = -7t + 2 Combine like terms: -160 + 14 = -146 -146 + -8t = -7t + 2 Reorder the terms: -146 + -8t = 2 + -7t Solving -146 + -8t = 2 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. -146 + -8t + 7t = 2 + -7t + 7t Combine like terms: -8t + 7t = -1t -146 + -1t = 2 + -7t + 7t Combine like terms: -7t + 7t = 0 -146 + -1t = 2 + 0 -146 + -1t = 2 Add '146' to each side of the equation. -146 + 146 + -1t = 2 + 146 Combine like terms: -146 + 146 = 0 0 + -1t = 2 + 146 -1t = 2 + 146 Combine like terms: 2 + 146 = 148 -1t = 148 Divide each side by '-1'. t = -148 Simplifying t = -148
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