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Simplifying 4(3t + -2) + 3 + -89 = 89 Reorder the terms: 4(-2 + 3t) + 3 + -89 = 89 (-2 * 4 + 3t * 4) + 3 + -89 = 89 (-8 + 12t) + 3 + -89 = 89 Reorder the terms: -8 + 3 + -89 + 12t = 89 Combine like terms: -8 + 3 = -5 -5 + -89 + 12t = 89 Combine like terms: -5 + -89 = -94 -94 + 12t = 89 Solving -94 + 12t = 89 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + 12t = 89 + 94 Combine like terms: -94 + 94 = 0 0 + 12t = 89 + 94 12t = 89 + 94 Combine like terms: 89 + 94 = 183 12t = 183 Divide each side by '12'. t = 15.25 Simplifying t = 15.25
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