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Simplifying 6(t + -2) = 2(9k + -4) Reorder the terms: 6(-2 + t) = 2(9k + -4) (-2 * 6 + t * 6) = 2(9k + -4) (-12 + 6t) = 2(9k + -4) Reorder the terms: -12 + 6t = 2(-4 + 9k) -12 + 6t = (-4 * 2 + 9k * 2) -12 + 6t = (-8 + 18k) Solving -12 + 6t = -8 + 18k Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6t = -8 + 12 + 18k Combine like terms: -12 + 12 = 0 0 + 6t = -8 + 12 + 18k 6t = -8 + 12 + 18k Combine like terms: -8 + 12 = 4 6t = 4 + 18k Divide each side by '6'. t = 0.6666666667 + 3k Simplifying t = 0.6666666667 + 3k
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