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Simplifying 2.5t + 6 = 10t + 24 Reorder the terms: 6 + 2.5t = 10t + 24 Reorder the terms: 6 + 2.5t = 24 + 10t Solving 6 + 2.5t = 24 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 6 + 2.5t + -10t = 24 + 10t + -10t Combine like terms: 2.5t + -10t = -7.5t 6 + -7.5t = 24 + 10t + -10t Combine like terms: 10t + -10t = 0 6 + -7.5t = 24 + 0 6 + -7.5t = 24 Add '-6' to each side of the equation. 6 + -6 + -7.5t = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -7.5t = 24 + -6 -7.5t = 24 + -6 Combine like terms: 24 + -6 = 18 -7.5t = 18 Divide each side by '-7.5'. t = -2.4 Simplifying t = -2.4
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