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Simplifying 3(4t + -19) + -9 = 42 Reorder the terms: 3(-19 + 4t) + -9 = 42 (-19 * 3 + 4t * 3) + -9 = 42 (-57 + 12t) + -9 = 42 Reorder the terms: -57 + -9 + 12t = 42 Combine like terms: -57 + -9 = -66 -66 + 12t = 42 Solving -66 + 12t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 12t = 42 + 66 Combine like terms: -66 + 66 = 0 0 + 12t = 42 + 66 12t = 42 + 66 Combine like terms: 42 + 66 = 108 12t = 108 Divide each side by '12'. t = 9 Simplifying t = 9
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