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Simplifying 1.5t + 6 = 9t + 12 Reorder the terms: 6 + 1.5t = 9t + 12 Reorder the terms: 6 + 1.5t = 12 + 9t Solving 6 + 1.5t = 12 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 6 + 1.5t + -9t = 12 + 9t + -9t Combine like terms: 1.5t + -9t = -7.5t 6 + -7.5t = 12 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -7.5t = 12 + 0 6 + -7.5t = 12 Add '-6' to each side of the equation. 6 + -6 + -7.5t = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7.5t = 12 + -6 -7.5t = 12 + -6 Combine like terms: 12 + -6 = 6 -7.5t = 6 Divide each side by '-7.5'. t = -0.8 Simplifying t = -0.8
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