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Simplifying 12t + -1(7 + -3t) = -8t + -3P 12t + (7 * -1 + -3t * -1) = -8t + -3P 12t + (-7 + 3t) = -8t + -3P Reorder the terms: -7 + 12t + 3t = -8t + -3P Combine like terms: 12t + 3t = 15t -7 + 15t = -8t + -3P Reorder the terms: -7 + 15t = -3P + -8t Solving -7 + 15t = -3P + -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. -7 + 15t + 8t = -3P + -8t + 8t Combine like terms: 15t + 8t = 23t -7 + 23t = -3P + -8t + 8t Combine like terms: -8t + 8t = 0 -7 + 23t = -3P + 0 -7 + 23t = -3P Add '7' to each side of the equation. -7 + 7 + 23t = 7 + -3P Combine like terms: -7 + 7 = 0 0 + 23t = 7 + -3P 23t = 7 + -3P Divide each side by '23'. t = 0.3043478261 + -0.1304347826P Simplifying t = 0.3043478261 + -0.1304347826P
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