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Simplifying 4(2t + -3) + 3t = 24 + t Reorder the terms: 4(-3 + 2t) + 3t = 24 + t (-3 * 4 + 2t * 4) + 3t = 24 + t (-12 + 8t) + 3t = 24 + t Combine like terms: 8t + 3t = 11t -12 + 11t = 24 + t Solving -12 + 11t = 24 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -12 + 11t + -1t = 24 + t + -1t Combine like terms: 11t + -1t = 10t -12 + 10t = 24 + t + -1t Combine like terms: t + -1t = 0 -12 + 10t = 24 + 0 -12 + 10t = 24 Add '12' to each side of the equation. -12 + 12 + 10t = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 10t = 24 + 12 10t = 24 + 12 Combine like terms: 24 + 12 = 36 10t = 36 Divide each side by '10'. t = 3.6 Simplifying t = 3.6
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