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Simplifying 4(2t + -1) + 3t = 8 + -7 Reorder the terms: 4(-1 + 2t) + 3t = 8 + -7 (-1 * 4 + 2t * 4) + 3t = 8 + -7 (-4 + 8t) + 3t = 8 + -7 Combine like terms: 8t + 3t = 11t -4 + 11t = 8 + -7 Combine like terms: 8 + -7 = 1 -4 + 11t = 1 Solving -4 + 11t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11t = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 11t = 1 + 4 11t = 1 + 4 Combine like terms: 1 + 4 = 5 11t = 5 Divide each side by '11'. t = 0.4545454545 Simplifying t = 0.4545454545
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