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Simplifying -45t + -23t + 78t + -19 = -89 Reorder the terms: -19 + -45t + -23t + 78t = -89 Combine like terms: -45t + -23t = -68t -19 + -68t + 78t = -89 Combine like terms: -68t + 78t = 10t -19 + 10t = -89 Solving -19 + 10t = -89 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 10t = -89 + 19 Combine like terms: -19 + 19 = 0 0 + 10t = -89 + 19 10t = -89 + 19 Combine like terms: -89 + 19 = -70 10t = -70 Divide each side by '10'. t = -7 Simplifying t = -7
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