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