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Simplifying 6(t + -6) + 6t = (2t + 2) + -8 Reorder the terms: 6(-6 + t) + 6t = (2t + 2) + -8 (-6 * 6 + t * 6) + 6t = (2t + 2) + -8 (-36 + 6t) + 6t = (2t + 2) + -8 Combine like terms: 6t + 6t = 12t -36 + 12t = (2t + 2) + -8 Reorder the terms: -36 + 12t = (2 + 2t) + -8 Remove parenthesis around (2 + 2t) -36 + 12t = 2 + 2t + -8 Reorder the terms: -36 + 12t = 2 + -8 + 2t Combine like terms: 2 + -8 = -6 -36 + 12t = -6 + 2t Solving -36 + 12t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -36 + 12t + -2t = -6 + 2t + -2t Combine like terms: 12t + -2t = 10t -36 + 10t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 -36 + 10t = -6 + 0 -36 + 10t = -6 Add '36' to each side of the equation. -36 + 36 + 10t = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 10t = -6 + 36 10t = -6 + 36 Combine like terms: -6 + 36 = 30 10t = 30 Divide each side by '10'. t = 3 Simplifying t = 3
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