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Simplifying 10t + -14 = 15t + -24 Reorder the terms: -14 + 10t = 15t + -24 Reorder the terms: -14 + 10t = -24 + 15t Solving -14 + 10t = -24 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -14 + 10t + -15t = -24 + 15t + -15t Combine like terms: 10t + -15t = -5t -14 + -5t = -24 + 15t + -15t Combine like terms: 15t + -15t = 0 -14 + -5t = -24 + 0 -14 + -5t = -24 Add '14' to each side of the equation. -14 + 14 + -5t = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -5t = -24 + 14 -5t = -24 + 14 Combine like terms: -24 + 14 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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