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Simplifying -42 + 12 + 5t = 14t + 24 Combine like terms: -42 + 12 = -30 -30 + 5t = 14t + 24 Reorder the terms: -30 + 5t = 24 + 14t Solving -30 + 5t = 24 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -30 + 5t + -14t = 24 + 14t + -14t Combine like terms: 5t + -14t = -9t -30 + -9t = 24 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 + -9t = 24 + 0 -30 + -9t = 24 Add '30' to each side of the equation. -30 + 30 + -9t = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -9t = 24 + 30 -9t = 24 + 30 Combine like terms: 24 + 30 = 54 -9t = 54 Divide each side by '-9'. t = -6 Simplifying t = -6
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