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Simplifying 2(6t + -3) = 4(t + -2) + 2 Reorder the terms: 2(-3 + 6t) = 4(t + -2) + 2 (-3 * 2 + 6t * 2) = 4(t + -2) + 2 (-6 + 12t) = 4(t + -2) + 2 Reorder the terms: -6 + 12t = 4(-2 + t) + 2 -6 + 12t = (-2 * 4 + t * 4) + 2 -6 + 12t = (-8 + 4t) + 2 Reorder the terms: -6 + 12t = -8 + 2 + 4t Combine like terms: -8 + 2 = -6 -6 + 12t = -6 + 4t Add '6' to each side of the equation. -6 + 6 + 12t = -6 + 6 + 4t Combine like terms: -6 + 6 = 0 0 + 12t = -6 + 6 + 4t 12t = -6 + 6 + 4t Combine like terms: -6 + 6 = 0 12t = 0 + 4t 12t = 4t Solving 12t = 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12t + -4t = 4t + -4t Combine like terms: 12t + -4t = 8t 8t = 4t + -4t Combine like terms: 4t + -4t = 0 8t = 0 Divide each side by '8'. t = 0 Simplifying t = 0
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