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Simplifying 14 + -7(5t + -20) = -9(3t + -2) Reorder the terms: 14 + -7(-20 + 5t) = -9(3t + -2) 14 + (-20 * -7 + 5t * -7) = -9(3t + -2) 14 + (140 + -35t) = -9(3t + -2) Combine like terms: 14 + 140 = 154 154 + -35t = -9(3t + -2) Reorder the terms: 154 + -35t = -9(-2 + 3t) 154 + -35t = (-2 * -9 + 3t * -9) 154 + -35t = (18 + -27t) Solving 154 + -35t = 18 + -27t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27t' to each side of the equation. 154 + -35t + 27t = 18 + -27t + 27t Combine like terms: -35t + 27t = -8t 154 + -8t = 18 + -27t + 27t Combine like terms: -27t + 27t = 0 154 + -8t = 18 + 0 154 + -8t = 18 Add '-154' to each side of the equation. 154 + -154 + -8t = 18 + -154 Combine like terms: 154 + -154 = 0 0 + -8t = 18 + -154 -8t = 18 + -154 Combine like terms: 18 + -154 = -136 -8t = -136 Divide each side by '-8'. t = 17 Simplifying t = 17
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