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Simplifying 3(3t + -4) + 4(6 + -1t) = 18 Reorder the terms: 3(-4 + 3t) + 4(6 + -1t) = 18 (-4 * 3 + 3t * 3) + 4(6 + -1t) = 18 (-12 + 9t) + 4(6 + -1t) = 18 -12 + 9t + (6 * 4 + -1t * 4) = 18 -12 + 9t + (24 + -4t) = 18 Reorder the terms: -12 + 24 + 9t + -4t = 18 Combine like terms: -12 + 24 = 12 12 + 9t + -4t = 18 Combine like terms: 9t + -4t = 5t 12 + 5t = 18 Solving 12 + 5t = 18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5t = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 5t = 18 + -12 5t = 18 + -12 Combine like terms: 18 + -12 = 6 5t = 6 Divide each side by '5'. t = 1.2 Simplifying t = 1.2
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