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Simplifying 24 = 1t + 3t + (3t + -4) Reorder the terms: 24 = 1t + 3t + (-4 + 3t) Remove parenthesis around (-4 + 3t) 24 = 1t + 3t + -4 + 3t Reorder the terms: 24 = -4 + 1t + 3t + 3t Combine like terms: 1t + 3t = 4t 24 = -4 + 4t + 3t Combine like terms: 4t + 3t = 7t 24 = -4 + 7t Solving 24 = -4 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 24 + -7t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 24 + -7t = -4 + 0 24 + -7t = -4 Add '-24' to each side of the equation. 24 + -24 + -7t = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -7t = -4 + -24 -7t = -4 + -24 Combine like terms: -4 + -24 = -28 -7t = -28 Divide each side by '-7'. t = 4 Simplifying t = 4
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