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