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Simplifying 4(2 + -3t) + 6t = 6t + 8 (2 * 4 + -3t * 4) + 6t = 6t + 8 (8 + -12t) + 6t = 6t + 8 Combine like terms: -12t + 6t = -6t 8 + -6t = 6t + 8 Reorder the terms: 8 + -6t = 8 + 6t Add '-8' to each side of the equation. 8 + -8 + -6t = 8 + -8 + 6t Combine like terms: 8 + -8 = 0 0 + -6t = 8 + -8 + 6t -6t = 8 + -8 + 6t Combine like terms: 8 + -8 = 0 -6t = 0 + 6t -6t = 6t Solving -6t = 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. -6t + -6t = 6t + -6t Combine like terms: -6t + -6t = -12t -12t = 6t + -6t Combine like terms: 6t + -6t = 0 -12t = 0 Divide each side by '-12'. t = 0 Simplifying t = 0
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