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Simplifying 6(t + -2) + 6t = (2t + 2) + -8 Reorder the terms: 6(-2 + t) + 6t = (2t + 2) + -8 (-2 * 6 + t * 6) + 6t = (2t + 2) + -8 (-12 + 6t) + 6t = (2t + 2) + -8 Combine like terms: 6t + 6t = 12t -12 + 12t = (2t + 2) + -8 Reorder the terms: -12 + 12t = (2 + 2t) + -8 Remove parenthesis around (2 + 2t) -12 + 12t = 2 + 2t + -8 Reorder the terms: -12 + 12t = 2 + -8 + 2t Combine like terms: 2 + -8 = -6 -12 + 12t = -6 + 2t Solving -12 + 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. -12 + 12t + -2t = -6 + 2t + -2t Combine like terms: 12t + -2t = 10t -12 + 10t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 10t = -6 + 0 -12 + 10t = -6 Add '12' to each side of the equation. -12 + 12 + 10t = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 10t = -6 + 12 10t = -6 + 12 Combine like terms: -6 + 12 = 6 10t = 6 Divide each side by '10'. t = 0.6 Simplifying t = 0.6
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