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Simplifying 6(t + -2) = 2(9 + -2t) Reorder the terms: 6(-2 + t) = 2(9 + -2t) (-2 * 6 + t * 6) = 2(9 + -2t) (-12 + 6t) = 2(9 + -2t) -12 + 6t = (9 * 2 + -2t * 2) -12 + 6t = (18 + -4t) Solving -12 + 6t = 18 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -12 + 6t + 4t = 18 + -4t + 4t Combine like terms: 6t + 4t = 10t -12 + 10t = 18 + -4t + 4t Combine like terms: -4t + 4t = 0 -12 + 10t = 18 + 0 -12 + 10t = 18 Add '12' to each side of the equation. -12 + 12 + 10t = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 10t = 18 + 12 10t = 18 + 12 Combine like terms: 18 + 12 = 30 10t = 30 Divide each side by '10'. t = 3 Simplifying t = 3
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