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Simplifying 40 = 5t + 6(4t + -3) Reorder the terms: 40 = 5t + 6(-3 + 4t) 40 = 5t + (-3 * 6 + 4t * 6) 40 = 5t + (-18 + 24t) Reorder the terms: 40 = -18 + 5t + 24t Combine like terms: 5t + 24t = 29t 40 = -18 + 29t Solving 40 = -18 + 29t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29t' to each side of the equation. 40 + -29t = -18 + 29t + -29t Combine like terms: 29t + -29t = 0 40 + -29t = -18 + 0 40 + -29t = -18 Add '-40' to each side of the equation. 40 + -40 + -29t = -18 + -40 Combine like terms: 40 + -40 = 0 0 + -29t = -18 + -40 -29t = -18 + -40 Combine like terms: -18 + -40 = -58 -29t = -58 Divide each side by '-29'. t = 2 Simplifying t = 2
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