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Simplifying 8(t) + 13 = 7.5(t) + 16 Reorder the terms: 13 + 8t = 7.5(t) + 16 Reorder the terms: 13 + 8t = 16 + 7.5t Solving 13 + 8t = 16 + 7.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7.5t' to each side of the equation. 13 + 8t + -7.5t = 16 + 7.5t + -7.5t Combine like terms: 8t + -7.5t = 0.5t 13 + 0.5t = 16 + 7.5t + -7.5t Combine like terms: 7.5t + -7.5t = 0.0 13 + 0.5t = 16 + 0.0 13 + 0.5t = 16 Add '-13' to each side of the equation. 13 + -13 + 0.5t = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 0.5t = 16 + -13 0.5t = 16 + -13 Combine like terms: 16 + -13 = 3 0.5t = 3 Divide each side by '0.5'. t = 6 Simplifying t = 6
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