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Simplifying 4(6 + -3t) + 6t = 6t + 9 (6 * 4 + -3t * 4) + 6t = 6t + 9 (24 + -12t) + 6t = 6t + 9 Combine like terms: -12t + 6t = -6t 24 + -6t = 6t + 9 Reorder the terms: 24 + -6t = 9 + 6t Solving 24 + -6t = 9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 24 + -6t + -6t = 9 + 6t + -6t Combine like terms: -6t + -6t = -12t 24 + -12t = 9 + 6t + -6t Combine like terms: 6t + -6t = 0 24 + -12t = 9 + 0 24 + -12t = 9 Add '-24' to each side of the equation. 24 + -24 + -12t = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -12t = 9 + -24 -12t = 9 + -24 Combine like terms: 9 + -24 = -15 -12t = -15 Divide each side by '-12'. t = 1.25 Simplifying t = 1.25
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