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Simplifying 6(t + -2) + 6t = 6(t + 2) + -9 Reorder the terms: 6(-2 + t) + 6t = 6(t + 2) + -9 (-2 * 6 + t * 6) + 6t = 6(t + 2) + -9 (-12 + 6t) + 6t = 6(t + 2) + -9 Combine like terms: 6t + 6t = 12t -12 + 12t = 6(t + 2) + -9 Reorder the terms: -12 + 12t = 6(2 + t) + -9 -12 + 12t = (2 * 6 + t * 6) + -9 -12 + 12t = (12 + 6t) + -9 Reorder the terms: -12 + 12t = 12 + -9 + 6t Combine like terms: 12 + -9 = 3 -12 + 12t = 3 + 6t Solving -12 + 12t = 3 + 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. -12 + 12t + -6t = 3 + 6t + -6t Combine like terms: 12t + -6t = 6t -12 + 6t = 3 + 6t + -6t Combine like terms: 6t + -6t = 0 -12 + 6t = 3 + 0 -12 + 6t = 3 Add '12' to each side of the equation. -12 + 12 + 6t = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 6t = 3 + 12 6t = 3 + 12 Combine like terms: 3 + 12 = 15 6t = 15 Divide each side by '6'. t = 2.5 Simplifying t = 2.5
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