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Simplifying 4.75t + 7 = 13.5t + 14 Reorder the terms: 7 + 4.75t = 13.5t + 14 Reorder the terms: 7 + 4.75t = 14 + 13.5t Solving 7 + 4.75t = 14 + 13.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13.5t' to each side of the equation. 7 + 4.75t + -13.5t = 14 + 13.5t + -13.5t Combine like terms: 4.75t + -13.5t = -8.75t 7 + -8.75t = 14 + 13.5t + -13.5t Combine like terms: 13.5t + -13.5t = 0.0 7 + -8.75t = 14 + 0.0 7 + -8.75t = 14 Add '-7' to each side of the equation. 7 + -7 + -8.75t = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -8.75t = 14 + -7 -8.75t = 14 + -7 Combine like terms: 14 + -7 = 7 -8.75t = 7 Divide each side by '-8.75'. t = -0.8 Simplifying t = -0.8
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