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Simplifying -1(-12t + -6) = -6(-4 + t) Reorder the terms: -1(-6 + -12t) = -6(-4 + t) (-6 * -1 + -12t * -1) = -6(-4 + t) (6 + 12t) = -6(-4 + t) 6 + 12t = (-4 * -6 + t * -6) 6 + 12t = (24 + -6t) Solving 6 + 12t = 24 + -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. 6 + 12t + 6t = 24 + -6t + 6t Combine like terms: 12t + 6t = 18t 6 + 18t = 24 + -6t + 6t Combine like terms: -6t + 6t = 0 6 + 18t = 24 + 0 6 + 18t = 24 Add '-6' to each side of the equation. 6 + -6 + 18t = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 18t = 24 + -6 18t = 24 + -6 Combine like terms: 24 + -6 = 18 18t = 18 Divide each side by '18'. t = 1 Simplifying t = 1
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